プレプリどんどん: math.AC

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MATH-AC - 2026/9/25の論文7本
Last Friday at 5:00 AM

arXiv math.ACの新着論文7本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-25/

Algebraic Expressivity Certificates for Shallow Polynomial Neural NetworksMatrix factorization of quotient singularities of type A and DJordan Blocks, Differential Traces, and Colon-Ideal Noncontainment over Noetherian QuotientsSystems of parameters consisting of linear forms for monomial ideal quotientsPrimality of dilated closed path polyominoesReduced and coreduced modules with respect to inverse families of idealsSpecht ideals for the imprimitive complex reflection group $G(r,1,n)$: geometric orbit types and a dominance theorem


MATH-AC - 2026/9/24の論文8本
Last Thursday at 5:00 AM

arXiv math.ACの新着論文8本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-24/

Dimensions of permanental varieties in arbitrary sizeTwo-sided bounds for canonical traces of Veronese subalgebrasResultant of an equivariant polynomial system with respect to the reflection group $G(r,n)$Generic $\mu$-power ideals, fat points, and symbolic powersConjugation Differential Invariants of $\mathrm{SL}_2(\mathbb{F}_q)$ on trace-free matricesField independence of the first seven Betti numbers of flag complexesThe prime spectrum of rings of integer-coefficient power series on the diskDegrees and directional defects of embedded algebraic vector bundles


MATH-AC - 2026/9/23の論文12本
Last Wednesday at 5:00 AM

arXiv math.ACの新着論文12本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-23/

Ideal Structures in Idealizations and Cardinalities of Annihilating IdealsNotes on Matlis reflexive modulesA proof of the Eisenbud-Huneke-Ulrich conjecturePrimary decompositions via exponent matricesPoincar\'e Duality and Quadratic Refinements over Laurent RingsResultant of an equivariant polynomial system with respect to a direct product of $r$ symmetric groupsComplete intersection and quasi-homological dimensionsEquivalence of Extensions and the Perturbation IndexThe Non-Lefschetz Locus of Monomial Complete Intersections in Positive CharacteristicThe Betti numbers and Golodness of numerical semigroup rings of Sally typeBernstein-Sato ideals for free hyperplane arrangementsPairs of lattice complements with complementary homology


イデアルとコホモロジーと多様体 - 2026/9/22の論文22本
Last Tuesday at 5:00 AM

arXiv math.ACの新着論文22本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-22/

The Bourbaki Degree of Line ArrangementsOn the n-perfectness under split nilpotent extensionsv-numbers of symbolic-ordinary discrepancy modulesMixed multiplicities and Rees Theorems for graded families and their conversesQuasi-projective dimension for complexes via filtrationsThe Coproduct of Ideals and the Coprime SpectrumOn Regular Mac Lane-Vaqui\'e chainsPrime and Cohen-Macaulay ideals of 2-minors with linear resolution$\aleph_m$-presented Gorenstein flat modules and Gorenstein dimensions of groupsDescent along flat composed with radicalizationThe algebraicity of generating functions using nested Artin approximationThe structure of almost symmetric almost complete intersection numerical semigroupsA non-spatial frame of smashing idealsA...


コヒーレント領域とTor代数 - 2026/9/21の論文2本
Last Monday at 5:00 AM

arXiv math.ACの新着論文2本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-21/

A one-dimensional coherent domain with non-Pr\"ufer integral closureClassification of Tor algebras for rings from general points by Waring Rank


導手と判別式の不等式と巡回被覆 - 2026/9/18の論文2本
09/18/2026

arXiv math.ACの新着論文2本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-18/

Conductor-Discriminant Inequality for Tamely Ramified Cyclic Covers IConductor-Discriminant Inequality for Tamely Ramified Cyclic Covers II


イデアルと環とコエンマカレイモジュール - 2026/9/17の論文13本
09/17/2026

arXiv math.ACの新着論文13本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-17/

Homological invariants of Edge Ideals associated to powers of cyclesDimensions of a ring and its formal power series ringCohen-Macaulay higher conormal and K\"ahler differential modules of squarefree monomial idealsNormality of ideals beyond the standard graded setting: families from numerical semigroup ringsA criterion for determinantal presentations of numerical semigroup ringsFinitistic injective dimension exceeding finitistic projective dimension for a commutative ringDensity functions for filtrations of graded idealsSymbolic powers of the ideal of$n$ general points in $P^{n-1}$On the Stable category of maximal Cohen-Macaulay modules over Gorenstein rings-IIMaxima...


消去子と単項イデアルとヤコビ写像 - 2026/9/16の論文5本
09/16/2026

arXiv math.ACの新着論文5本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-16/

Annihilator Multiplication Modules: Ring Characterizations and ConstructionsStrongly multiplicative sets, idempotent localizations, and $S$-prime phenomenaOn atoms and their density in the monoid of monomial idealsNilpotent Jacobian maps in dimension three and stable tameness in block extensionsRings are $\chi$-bounded


多項式写像と環の構造と多様体 - 2026/9/15の論文14本
09/15/2026

arXiv math.ACの新着論文14本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-15/

The structure of automorphism groups of zero-dimensional monomial algebrasThe classification of some polynomial maps in dimension threeIndependence polynomials and the weak Lefschetz property for tadpole graphsOn a question of Nori: The high-codimension conductor caseGoldman primes and higher cyclic presentations for the small finitistic dimensionOn the iso-Artinianness of one-dimensional Noetherian ringsBaer Splitting Beyond $\tau_q$-SemisimplicityGeneralized divisor topology of commutative ringsOn simple extensions generated by key polynomialsSymmetric Models for Syndrome DecodingNagata's conjecture on a polynomial automorphism in positive characteristicAKE principles in roughly deeply ramified henselian valued fieldsPolarized varieties witho...


不変量と生成元とヒルベルト級数とランク - 2026/9/14の論文5本
09/14/2026

arXiv math.ACの新着論文5本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-14/

Numerical invariants for three-generated idealsThe Eisenbud-Huneke-Ulrich conjecture and bounds on minimal generatorsOn the Hilbert Series and Multiplicity of Generalized Binomial Edge IdealsBorder rank lower bounds beyond weak border apolarityDescent, Seminormalization, and Conductors of Sparse Profile Images


局所コホモロジーとグレブナー基底と多項式GCD - 2026/9/11の論文6本
09/11/2026

arXiv math.ACの新着論文6本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-11/

The transfer of Artinian and Cohen-Macaulay properties under module-finite extensionsCategories of Multigraded Local Cohomology Modules: Serre Filtrations and Nakayama DualityAssociated primes, witnesses, and omega invariants of monomial idealsQuadratic Gr\"obner bases for cut ideals of cycles and ring graphsA New Sparse Algorithm for Polynomial GCD over IntegersOpenness of local properties in flat families of superschemes


レフシェッツ特性とヒルベルト係数と多様体 - 2026/9/10の論文10本
09/10/2026

arXiv math.ACの新着論文10本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-10/

Lefschetz properties for monomial complete intersections$F$-depth and $F$-nilpotent rings: generalizations and applicationsStabilization index of V-number of powers of edge ideals of graphsKeller maps and holonomic $D$-modulesBounds on Hilbert coefficients of Cohen-Macaulay modules having finite projective dimensionSecant varieties of flag varieties via Schur apolarityA lattice path model for the volume of the Monge polytopeReconstruction of Binary Linear Systems and Profile Geometry of Sparse Krylov StrataSyzygy Transformations of Cluster Characters and Geometric TwistsUnimodality shenanigans in Ehrhart theory


多項式とべき乗と次数と次元の解析 - 2026/9/9の論文19本
09/09/2026

arXiv math.ACの新着論文19本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-09/

Weak Polynomial Completeness Does Not Imply Almost Polynomial CompletenessComparisons between ordinary and symbolic powers of edge ideals with respect to regularity and depthPairings on the algebra of Laurent series over a ringOn the Matlis Reflexive ModulesRanks of Verdier quotients of derived categories over local ringsA Solution to Iima--Yoshino Problem 2.3Frobenius dilation of Hilbert function, Demailly's conjecture, and varieties of powersRegularity of symbolic powers of complementary edge idealsOn the relations among algebraic models for the MinRank problemA Counterexample to the Huneke-Wiegand ConjectureTwo Infinite Families of Regular Sequences of Power Sums in Thr...


単項イデアルと行列とD加群 - 2026/9/7の論文9本
09/07/2026

arXiv math.ACの新着論文9本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-07/

On the closed neighborhood ideal of the square of broom and double broom graphsA comparison of the v-number of a monomial ideal and its integral closureAn Improved Upper Bound for the Perturbation IndexThe coordinate ring of the k-fold iterated commutator locus for 2x2 matricesAn explicit non-elementary matrix over a bivariate Laurent polynomial ringUniversality in the algebra and topology of cographsThe ozone group of $U_q^+(B_2)$Layered mixed matrices and reaction networksFiltrations on D-modules and multiplicities of roots of Bernstein-Sato polynomials


数値半群と不変イデアルと代数構造 - 2026/9/4の論文11本
09/04/2026

arXiv math.ACの新着論文11本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-04/

Power sums of critical points of gap polynomials for symmetric and pseudo-symmetric numerical semigroupsSymbolic Powers and Asymptotic Invariants of GL-Invariant IdealsRelative approximation degrees and the henselian rationality problem over perfect fieldsCohen--Macaulayness of $\mathrm{Inc}(\mathbb{N})$-Invariant Chains of Edge IdealsQuasi S-n-ideals in commutative semiringsGraded Betti numbers of graded M\"obius algebras of uniform matroidsArtin-Schreier geproci configurations in projective spaces of arbitrary dimensionKoszul Orlik--Solomon Algebras from Non-supersolvable ArrangementsA Polynomial PDE Criterion for the $-n/d$ Root of the Bernstein-Sato polynomial of Homogeneous IdealsThe type and cardinality of minimal presentatio...


グラフと多面体とStanley-Reisner環 - 2026/9/3の論文7本
09/03/2026

arXiv math.ACの新着論文7本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-03/

Bouvier's Conjecture Is TrueOn the vertex connectivity of weakly zero-divisor graph of commutative ringsHomology of non-matching complexes under edge additions and applications to their Stanley-Reisner idealsLocalized Persistent Commutative AlgebraSmooth Counterexamples to the Eisenbud--Schreyer--Weyman Ulrich Existence ProblemMost $(0,1)$-polytopes are not normalCharacterization of Stanley-Reisner varieties by their automorphism group


シジジーとイデアルと代数多様体 - 2026/9/2の論文15本
09/02/2026

arXiv math.ACの新着論文15本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-02/

Trace ideals of syzygiesA counterexample to the localization problem for AB ringsExtension of valuation rings as limits of complete intersection algebrasKrasner Completions of Filtered BandsUnique factorization results for generalized power seriesSymbolic Rees algebras of complementary edge idealsIntegrally closed ideals with $e_{2}(I)=e_{1}(I)-e_{0}(I)+\lambda(A/I)$Axiomatics for generic categories in positive characteristicWeighted Syzygies of Pointed CurvesPalindromic real-rooted polynomials and $h$-vectors of polytopesOn Algebraic Integrability of Vector Fields with Rational Function Coefficients that Separate VariablesResultant multiplicity via projective degrees and applications to tensor eigenvaluesOpen...


ホモロジーと特異点とイデアルと符号 - 2026/9/1の論文10本
09/01/2026

arXiv math.ACの新着論文10本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-01/

Homological dimensions of derived Hom complexesWeakly Newton-nondegenerate binomial idealsThe arithmetic rank of nullcones of classical invariant ringsTruncations of the ring of number-theoretic functions, revisitedThresholds of singularities in characteristic zeroApproximating DVRs by elements of bounded ramificationThe symbolic and divisorial analytic spreads are finiteTrinomial containment in polynomial ideals is undecidablePoisson bialgebras by deformations-to-quasiclassical limitsEdge codes constructed from unicyclic graphs


二項辺エッジイデアルと単項イデアルとクリロフ複雑性 - 2026/8/31の論文3本
08/31/2026

arXiv math.ACの新着論文3本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-31/

Diagonal F-threshold of binomial edge idealsOn the existence of the maximal ideal in the set of associated primes of monomial idealsPolynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity


単項式イデアルと深層学習と代数幾何 - 2026/8/28の論文6本
08/28/2026

arXiv math.ACの新着論文6本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-28/

Comparing v-numbers of symbolic and ordinary powers of squarefree monomial idealsLinear Independence of Polynomial Compositions and Identifiability of Deep Neural NetworksOn the weak Lefschetz property of Artinian Gorenstein algebras of codimension three in arbitrary characteristicBoxicity and Threshold Dimension of Zero Divisor GraphsDisjoint and nearly disjoint sums of matrix multiplication tensors and their centroidsGraded Ehrhart theory for hypersimplices


局所環とイデアルとコックス環と幾何学 - 2026/8/27の論文8本
08/27/2026

arXiv math.ACの新着論文8本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-27/

Contravariantly finite resolving subcategories over commutative local rings are trivial onesMulti-graded generic initial ideals, regularity, and the optimal colorful fractional Helly theorem for $d$-Leray complexesReduction numbers for witnesses to the generalized Loewy lengthPolynomial extensions do not preserve the strong finite type propertyMultiplicity-One Cox Rings of Toric Point Blow-UpsOn the Multiplicative Thom-Sebastiani Property for Bernstein-Sato Polynomials of IdealsDe Morgan's Laws in Tensor-Triangular GeometrySome results on null ideals of finite rings


コズール性と単項イデアルと行列環 - 2026/8/26の論文6本
08/26/2026

arXiv math.ACの新着論文6本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-26/

Eventual Nonstandard Koszulness Fails for Veronese Subrings of Weighted Polynomial RingsCounterexamples to Peskine-Szpiro's conjecture on modules of finite projective dimensionOn exceptional cliques in matrix ringsComponentwise linear monomial idealsFr\"oberg's Conjecture for Quintics and Septics in Four VariablesLocal stability of Frobenius and Artin--Schreier base-change: a comparison


数値半群と不変環とヒルベルト級数 - 2026/8/25の論文9本
08/25/2026

arXiv math.ACの新着論文9本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-25/

A Complete Characterization of Realizable (Embedding Dimension, Multiplicity) Pairs for Complete Intersection Numerical SemigroupsSome non-principal rigid ideals in Gorenstein domains of dimension oneDuality Between Injective Envelopes and Flat Covers over Noether AlgebrasCosyzygy modulesOn the Hilbert series of ideals generated by general linear formsPoint Counts of Cluster Varieties of Marked Surfaces Over Finite FieldsMarshall Quotients of the Rings $\mathbb Z/n\mathbb Z$A tight bound for affine-linearity, via universal ballot matricesThe invariant ring of degree-four rational maps on the projective line


代数曲線とイデアルとフロベニウス写像 - 2026/8/24の論文5本
08/24/2026

arXiv math.ACの新着論文5本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-24/

Derivations of plane algebroid curvesRegularity of Symbolic Powers of Co-Chordal Edge IdealsA Mayer-Vietoris calculus for regular denominatorsRamification ideals for products of pure subgroupsBetti and Bass numbers of relative Frobenius maps


ハミング重みとコホモロジーと特異点解消 - 2026/8/21の論文5本
08/21/2026

arXiv math.ACの新着論文5本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-21/

Generalized Hamming weights of codes arising from complete intersectionKoszul cohomology of \v{C}ech cohomology modulesClique number and triangle densities in $C_4$-free graphsEigensolvers for polynomial roots and tensor decompositionResolution of Singularities in Positive Characteristic: Frobenius-Hasse Towers and Exceptional-History Descent


不変関数と特異点とテンソル多様体 - 2026/8/20の論文8本
08/20/2026

arXiv math.ACの新着論文8本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-20/

V-numbers of powers of cover ideals of unimodular hypergraphsComplete Intersections of Bounded Codimension: Failure of the Nagata Criterion and Recovery of OpennessDifferential Operators on $G(r,n)$-Invariant FunctionsEquivalence of Curve Singularities and delta-InvariantsMatrix Algebra for Persistence Modules Yields a Proof of the Isometry TheoremThe radial derivative on the graded M\"obius algebraFinite-coefficient K-theory of henselian valued fields and Gersten injectivityEquations of Tree Tensor Network Varieties


イデアルと環と多様体と格子 - 2026/8/19の論文12本
08/19/2026

arXiv math.ACの新着論文12本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-19/

The Bi-UF Positive Conjecture HoldsA Structural Property of Generic Initial IdealsHankel Determinantal Ring have $F$-regular SingularitiesAlgebras with straightening laws on join- or meet-semidistributive latticesDepth and Krull dimension of Binomial edge idealsCohomological Cohen--Macaulayness in Non-Noetherian RingsF-rationality of multiplicity-free subvarietiesDeformation Theory of Monoid Schemes II: Precartesian Coextensions of Commutative MonoidsInvariant chains of graphsA strongly compact cardinal yields a left and right coherent ring with $\mathcal{PGF}(R)\subsetneq\mathcal{GP}(R)$A $k$-Dimensional Version of the Largest Intersection ProblemSuslin's cancellation conjecture on smooth real affine varieties with few real points


イデアルと環と多項式と多様体 - 2026/8/18の論文12本
08/18/2026

arXiv math.ACの新着論文12本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-18/

Ideal Zero-Product Probability in Finite Commutative RingsV-numbers of symbolic powers of cover ideals of graphs$F$-injectivity does not deformSome Properties of Path and Closed Neighborhood IdealsBounds on multiplicity of MCM modules having non-extremal growth of betti-numbersCanonical traces of Artinian truncations of Stanley-Reisner ringsFactorization Bounds and Irreducibility Criteria in Hurwitz Series RingsEstimates for roots of Bernstein-Sato polynomials via log resolutions by orbifoldsTowards combinatorial derivations of K-polynomials for determinantal varietiesPolynomial interpolation and the Waldschmidt constant of points in projective spaceSome explicit counter-examples to Weibel's conjectureMatrix group $\Lambda$-distributions


イデアルと加群とスキームと多項式環 - 2026/8/17の論文7本
08/17/2026

arXiv math.ACの新着論文7本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-17/

A counterexample to a question on the maximality of purely-primesTorsion pairs in subcategories of modules over a commutative ringOn Takahashi's questions about dominant local ringsDetecting Essential Ideals in Polynomial RingsMittag-Leffler Conditions, Gorenstein Modules and Homological InvariantsClassifying Smooth Quot SchemesFinite Gaussian Reconstruction of Polynomial Orbits: From Correlated Moments to Oscillatory Periods


代数とイデアルと導出と環 - 2026/8/14の論文7本
08/14/2026

arXiv math.ACの新着論文7本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-14/

Artinian Gorenstein algebras with Macaulay dual generator with fixed Waring rankThe Noetherian Case of Bayart's Power-Series QuestionThe multiplicity sequence of monomial idealsOn the isotropy group of monomial derivationsRigidity for Lie algebras of locally finite derivationsHomogeneous Weights on Semigroup Algebras of Finite Commutative SemigroupsNull polynomials over a finite ring need not form a two-sided ideal


多重度とヤコビアン予想 - 2026/8/13の論文2本
08/13/2026

arXiv math.ACの新着論文2本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-13/

Limits of Amao multiplicities and Epsilon multiplicityA note on the real Jacobian conjecture in degree 7


コーエン・マコーレーとクラスター代数 - 2026/8/12の論文6本
08/12/2026

arXiv math.ACの新着論文6本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-12/

On an Instance of the Small Cohen-Macaulay Conjecture IIOn the Relationship Between Semiring-Induced Valuation Algebra Isomorphisms and Semiring IsomorphismsNormality of Relative Elementary Tranvection GroupsVirtually Gorenstein Artin algebras are weakly GorensteinMutation-preserving generalized cluster algebras and Laurent mutation invariantsKronecker Products of Symmetric Persistent Tensors


環とコホモロジーと次元と代数 - 2026/8/11の論文12本
08/11/2026

arXiv math.ACの新着論文12本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-11/

(Locally) Associated Subrings in Polynomial and Power Series ExtensionsLocal cohomological dimension and depth in mixed characteristicOn strongly G-regular ringsRelating the Exterior Algebra of the Conormal Module to the Tor AlgebraRemarks on some Homological Problems regarding Infinite Integral ExtensionsTor and Ext vanishing results for commutative Artinian ringsDisconnected multigraded Hilbert schemes on $\mathbb{P}^2\times\mathbb{P}^1$Brehm-Wintner-Conley Dimension, Pl\"ucker Coordinates, and Generalized Dziobek-Williams Equations for Central ConfigurationsThe Algebra of compact-open subsets in the spectrum of the ring $C(T)$ for an infinite compact Hausdorff space $T$Gorenstein homological dimens...


根基計算とヒルベルトスキームと熱帯多項式 - 2026/8/10の論文5本
08/10/2026

arXiv math.ACの新着論文5本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-10/

On the Radical Computation of Parametric Ideals over Finite FieldsAn Explicit Five-Variable Counterexample to the Generalized Vanishing ConjectureInitial Ideals, Low-degree Foliations and the Hilbert Scheme of Points on $\mathbb{CP}^{2}$: A First ApproachVector fields of graphic arrangements and face rings of simplicial posetsThe basic tropical polynomials generate the semifield of $r$-symmetric tropical rational functions


ベッティ数とlicciイデアルと熱帯不変量 - 2026/8/7の論文2本
08/07/2026

arXiv math.ACの新着論文2本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-07/

Restrictions on the Betti tables of licci idealsThe graded Betti numbers are not tropical invariants


次元と表現と代数と環と複体 - 2026/8/6の論文4本
08/06/2026

arXiv math.ACの新着論文4本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-06/

Krull--Gabriel dimension and Cohen-Macaulay representationsBehrend function and blowup algebrasSpherical Completeness, Coherence, and GCD Properties of Formal Power Series and Witt Vector RingsFrobenius--Witt cotangent complex for derived rings


局所環とヤコビアンとクラスター代数 - 2026/8/5の論文3本
08/05/2026

arXiv math.ACの新着論文3本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-05/

A Fitting criterion for quasi-Gorenstein local ringsA Dimension-Two Counterexample to the Separable Jacobian Conjecture in Characteristic TwoCluster Algebras, Cube Roots, and Energy Correlators in $\mathcal{N}=4$ SYM


代数構造とグラフ理論と特異点 - 2026/8/4の論文10本
08/04/2026

arXiv math.ACの新着論文10本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-04/

Ulrich modules : decomposition and relation with rings having minimal multiplicityGL-algebras in positive characteristic III: the divided power algebra$\mathrm{v}$-number of Lov\'asz-Saks-Schrijver Ideals and (parity) binomial edge ideals of graphsHilbert Series and Logarithmic Degrees of $A$-Hypergeometric SeriesHomological shift ideals of weighted oriented graphsA cusp surface singularity is Frobenius liftableNash structure of curves over a valued field and tame henselian rationalityCluster Algebras for Bosonic PlethysmA uniform decomposition theorem for invariant differential operators on imprimitive complex reflection groups G(r,p,n)The catenary degree of monoids of product-


終結式とヒルベルト係数 - 2026/8/3の論文2本
08/03/2026

arXiv math.ACの新着論文2本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-03/

Small Resultant Systems via Linear CombinationsBounds on the second Hilbert coefficient and the depth of the associated graded ring


導出とコホモロジーとテンソル代数 - 2026/7/31の論文8本
07/31/2026

arXiv math.ACの新着論文8本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-07-31/

When does a derivation of a ring admit the exponential?$\alpha\beta$-Tessarine Toolbox: A high-performance MATLAB framework for hypercomplex tensor algebraLocal cohomology modules with nonclosed supportTranscendental Hilbert-Kunz MultiplicitiesCotorsion modules relative to a hereditary torsion theoryOn phi-(k,n)-absorbing delta-primary hyperidealsHomotopy limits of complexesDerangement permutation matrices and orbit harmonics