プレプリどんどん編集部
プレプリどんどん: math.AC
arXivのmath. AC (可換環論) の新着論文の概要をAIで日本語でお届けするポッドキャストです。 情報収集にお役立てください。 (AIで生成していますので必ずしも正しいとは限りません)
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プレプリどんどん編集部
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Latest episode
Oct 19, 2026
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Episodes
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 11.09.2026 11:47
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 extensions Categories of Multigraded Local Cohomology Modules: Serre Filtrations and Nakayama Duality Associated primes, witnesses, and omega invariants of monomial ideals Quadratic Gr\"obner bases for...
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 10.09.2026 17:28
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 applications Stabilization index of V-number of powers of edge ideals of graphs Keller maps and holonomic $D$-modules Bounds on Hilbert coefficients of Cohen-Macau...
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 32:16
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 Completeness Comparisons between ordinary and symbolic powers of edge ideals with respect to regularity and depth Pairings on the algebra of Laurent series over a ring On the Matlis Reflexive Modules Ranks of Verd...
単項イデアルと行列とD加群 - 2026/9/7の論文9本 07.09.2026 15:44
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 graphs A comparison of the v-number of a monomial ideal and its integral closure An Improved Upper Bound for the Perturbation Index The coordinate ring of the k-fold iterated commutator locus for 2x2 mat...
数値半群と不変イデアルと代数構造 - 2026/9/4の論文11本 04.09.2026 20:17
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 semigroups Symbolic Powers and Asymptotic Invariants of GL-Invariant Ideals Relative approximation degrees and the henselian rationality problem over perfect fields Cohen--Macaulayn...
グラフと多面体とStanley-Reisner環 - 2026/9/3の論文7本 03.09.2026 12:49
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 True On the vertex connectivity of weakly zero-divisor graph of commutative rings Homology of non-matching complexes under edge additions and applications to their Stanley-Reisner ideals Localized Persistent Commutative Algebra Smooth Counterexamples t...
シジジーとイデアルと代数多様体 - 2026/9/2の論文15本 02.09.2026 26:11
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 syzygies A counterexample to the localization problem for AB rings Extension of valuation rings as limits of complete intersection algebras Krasner Completions of Filtered Bands Unique factorization results for generalized power series Symbolic Rees algebras...
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 01.09.2026 17:52
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 complexes Weakly Newton-nondegenerate binomial ideals The arithmetic rank of nullcones of classical invariant rings Truncations of the ring of number-theoretic functions, revisited Thresholds of singularities in characteristic zero Appro...
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 31.08.2026 5:41
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 ideals On the existence of the maximal ideal in the set of associated primes of monomial ideals Polynomial 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 28.08.2026 10:54
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 ideals Linear Independence of Polynomial Compositions and Identifiability of Deep Neural Networks On the weak Lefschetz property of Artinian Gorenstein algebras of codimension three in arbitrary charac...
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 27.08.2026 14:58
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 ones Multi-graded generic initial ideals, regularity, and the optimal colorful fractional Helly theorem for $d$-Leray complexes Reduction numbers for witnesses to the generalized Loewy len...
コズール性と単項イデアルと行列環 - 2026/8/26の論文6本 26.08.2026 11:20
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 Rings Counterexamples to Peskine-Szpiro's conjecture on modules of finite projective dimension On exceptional cliques in matrix rings Componentwise linear monomial ideals Fr\"oberg's Conjecture...
数値半群と不変環とヒルベルト級数 - 2026/8/25の論文9本 25.08.2026 16:18
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 Semigroups Some non-principal rigid ideals in Gorenstein domains of dimension one Duality Between Injective Envelopes and Flat Covers over Noether Algebras...
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 24.08.2026 9:07
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 curves Regularity of Symbolic Powers of Co-Chordal Edge Ideals A Mayer-Vietoris calculus for regular denominators Ramification ideals for products of pure subgroups Betti 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 21.08.2026 9:03
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 intersection Koszul cohomology of \v{C}ech cohomology modules Clique number and triangle densities in $C_4$-free graphs Eigensolvers for polynomial roots and tensor decomposition Resolution of Singularities in Positiv...
不変関数と特異点とテンソル多様体 - 2026/8/20の論文8本 20.08.2026 14:39
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 hypergraphs Complete Intersections of Bounded Codimension: Failure of the Nagata Criterion and Recovery of Openness Differential Operators on $G(r,n)$-Invariant Functions Equivalence of Curve Singularities and delta-Invariants...
イデアルと環と多様体と格子 - 2026/8/19の論文12本 19.08.2026 20:55
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 Holds A Structural Property of Generic Initial Ideals Hankel Determinantal Ring have $F$-regular Singularities Algebras with straightening laws on join- or meet-semidistributive lattices Depth and Krull dimension of Binomial edge ideals Cohomolo...
イデアルと環と多項式と多様体 - 2026/8/18の論文12本 18.08.2026 22:24
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 Rings V-numbers of symbolic powers of cover ideals of graphs $F$-injectivity does not deform Some Properties of Path and Closed Neighborhood Ideals Bounds on multiplicity of MCM modules having non-extremal growth of betti-...
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 17.08.2026 12:18
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-primes Torsion pairs in subcategories of modules over a commutative ring On Takahashi's questions about dominant local rings Detecting Essential Ideals in Polynomial Rings Mittag-Leffler Conditions, Gorenstein Modules...
代数とイデアルと導出と環 - 2026/8/14の論文7本 14.08.2026 12:27
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 rank The Noetherian Case of Bayart's Power-Series Question The multiplicity sequence of monomial ideals On the isotropy group of monomial derivations Rigidity for Lie algebras of locally finite deriva...
多重度とヤコビアン予想 - 2026/8/13の論文2本 13.08.2026 4:11
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 multiplicity A 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 12.08.2026 11:12
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 II On the Relationship Between Semiring-Induced Valuation Algebra Isomorphisms and Semiring Isomorphisms Normality of Relative Elementary Tranvection Groups Virtually Gorenstein Artin algebras are weakly Gorenstein Mutatio...
環とコホモロジーと次元と代数 - 2026/8/11の論文12本 11.08.2026 22:10
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 Extensions Local cohomological dimension and depth in mixed characteristic On strongly G-regular rings Relating the Exterior Algebra of the Conormal Module to the Tor Algebra Remarks on some Homological Problems re...
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 10.08.2026 9:18
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 Fields An Explicit Five-Variable Counterexample to the Generalized Vanishing Conjecture Initial Ideals, Low-degree Foliations and the Hilbert Scheme of Points on $\mathbb{CP}^{2}$: A First Approach Vector fields of g...
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 07.08.2026 4:01
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 ideals The graded Betti numbers are not tropical invariants
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