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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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20 oct. 2026

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整数値多項式と辺イデアルとトロピカル幾何 - 2026/7/2の論文3本 02.07.2026

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/2026-07-02/ When is the Ring of Integer-Valued Polynomials over a Group Ring a Pr\"ufer domain? On the Linearity of Squarefree Powers of Edge Ideals Tropical Geometry as a Restricted Architecture for Physics-Informed Neural Networks: Applications in Nonlinear Fluid-Structure Examples

導出圏と特異点と決定子多様体 - 2026/7/1の論文4本 01.07.2026

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/2026-07-01/ A lower bound for the Rouquier dimension of derived categories over commutative rings Intersection theorems over DG-rings revisited Quasi-$F$-singularities and singularities in birational geometry Segre-Determinantal Loci and the Image Variety for Three Flatland Cameras

行列と半群と多様体とイデアル - 2026/6/30の論文11本 30.06.2026

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/2026-06-30/ A note on strong affine semigroups Powers of matrices with all principal minors equal to 1 Transcendental Epsilon Multiplicity via Divisor Volumes Defect Antichains and Multigraded Symbolic Defect Series of Edge Ideals under Graph Blow-ups Surjective Stability of Dickson-Sie...

接束の外積代数とウルリッヒ多様体 - 2026/6/29の論文1本 29.06.2026

arXiv math. ACの新着論文1本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-06-29/ Varieties with Ulrich exterior powers of the tangent bundle

イデアルと環と多様体 - 2026/6/26の論文4本 26.06.2026

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/2026-06-26/ An algebraic study of ideals of weak graph homomorphisms The Second Vanishing Theorem in Ramified Mixed Characteristic Cohen, Levitzki, Hilbert Basis, and Lasker-Noether Theorems for Nil-S-Noetherian Rings Generalized Zariski cancellation for Brieskorn--Pham varieties

原子性とコエンマカラー環とクラスター群 - 2026/6/25の論文5本 25.06.2026

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/2026-06-25/ On near atomicity and a characterization of the FF property Polynomial Extensions of Non-Noetherian Cohen--Macaulay Rings and Torsion-Free Localization Nonsimilar half-neighbors over fields of characteristic 2 Weddle schemes Effective Computation of Mutation Paths and Generat...

境界ランクとベッティ数 - 2026/6/24の論文2本 24.06.2026

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/2026-06-24/ Polynomials of minimal border rank Graded Betti numbers of generalized split--join graphs and applications

可換環と多様体とグラフの構造 - 2026/6/23の論文14本 23.06.2026

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/2026-06-23/ Adjoining Idempotents to a Commutative Ring preprint version Sums of squares on curves and surfaces Betti Numbers of Sequentially Cohen-Macaulay Co-Chordal Graphs and Their Applications Prescribed Initial Behavior of $\mu(I^k)$ On Two Approaches to Cluster Structures on Part...

ベッティ数と特異点と線分配置 - 2026/6/19の論文4本 19.06.2026

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/2026-06-19/ Non-Noetherian Bass and Betti numbers A simple proof for Hochster's Theorem Plane curve singularities and Fitting ideals On Ziegler pairs of line arrangements: from non-existence to abundance

超平面配置とヒルベルト級数と共鳴 - 2026/6/18の論文5本 18.06.2026

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/2026-06-18/ Closing two recent conjectures related to the Jacobian ideal of hyperplane arrangements Symmetric and Isotypic Hilbert Series for Symmetric Ideals On monomial resonance Trivariate Splines on Fans of Hyperplane Arrangements and Koszul Homology A Pascal-type construction of the...

対称イデアルとモノイドと双対性 - 2026/6/17の論文7本 17.06.2026

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/2026-06-17/ Principal symmetric ideals in the coordinate rings of curves Sequential 1-Cohen-Macaulayness for direct sums of modules Derived functors and Hilbert polynomials over Gorenstein rings Counting Schur Rings over Cyclic Groups of Semi-prime Order Deformation Theory of Monoid Sche...

単項イデアルとコホモロジーと超スキーム - 2026/6/16の論文9本 16.06.2026

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/2026-06-16/ Regular sequences of linear forms on monomial ideals When is Frobenius epic? On the pertubations of E-depth, Ef-depth and sequentially Cohen-Macaulay locus Some Remarks About Saturation of Ideals Cohomology of Flag Superschemes and Syzygies of Compositional Varieties Residue...

単項イデアルとトーリック多様体と基底定理 - 2026/6/15の論文7本 15.06.2026

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/2026-06-15/ Further results on monomial ideals of projective dimension one A Generalization of a Theorem of Nakajima-Landweber-Stong (n,Q)-ideals ans phi-(n,Q)-ideals of commutative rings Higher syzygy bundles and the Eisenbud-Huneke-Ulrich conjecture Nonsimplicial toric Nullstellensatz...

Ding単射複体とルートクラスター - 2026/6/12の論文2本 12.06.2026

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/2026-06-12/ Weakly Ding injective complexes Root Clusters and Multiclusters over Imperfect Hilbertian Fields

正則性と生成元と格子の性質と完備化 - 2026/6/11の論文4本 11.06.2026

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/2026-06-11/ Regularity is bounded on a quasi-excellent Noetherian scheme On the number of generators of licci ideals On $S$-prime and $S$-primary elements in multiplicative lattices On Perfectoidizaiton of Finite Algebras over a Perfectoid Ring

ゴレンシュタイン次元と matroid と樹形図 - 2026/6/10の論文4本 10.06.2026

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/2026-06-10/ Complexes of finite Gorenstein flat and injective dimensions Unique decomposition of orders There are matroid toric ideals without quadratic Gr\"obner bases Enumeration of certain subsets of uprooted trees and spherical parking functions

局所コホモロジーと環の閉包とヒルベルトスキーム - 2026/6/9の論文13本 09.06.2026

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/2026-06-09/ On Hellus--Lyubeznik--Yildirim's conjecture of local cohomology modules The relation type of point configurations in the projective plane On the Regularity of Dominant and Almost Complete Intersection Monomial Ideals Weakly Q-ideals of commutative rings $\textbf{k}$-neighbor...

双対交換性と自由分解とトーリック多様体 - 2026/6/8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/2026-06-08/ The Non-Pure Dual Exchange Property in Low Dimensions A study of maximal shifts in the minimal graded free resolution of the residue field Polyhedral models for K-theory of toric and flag varieties Ideals defining components of two-row Springer fibers

パーフェクトイド環とコホモロジー次元 - 2026/6/5の論文2本 05.06.2026

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/2026-06-05/ Decomposition Theorem for Perfectoid Rings along General Ideals A Counterexample to Bhatt-Lurie's Cohomological Dimension Conjecture

ヒルベルトクンツ多重度とF-純閾値 - 2026/6/4の論文2本 04.06.2026

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/2026-06-04/ Hilbert-Kunz multiplicity of quadrics decreases Bounds on the F-Pure Threshold of Isolated Hypersurface Singularities

ホモロジーとベッチ数とシジジー - 2026/6/3の論文5本 03.06.2026

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/2026-06-03/ Amplitude inequalities for local (co)homology Betti numbers of split graphs Complexity, curvature and homological dimension of modules under linkage Syzygies of Isotropic Kalman Varieties A Complete Classification of 2-Linear Neighborhood Complexes

有界格子と半環と関数体と行列 - 2026/6/2の論文9本 02.06.2026

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/2026-06-02/ Q-filters of bounded lattices Projective dimension of powers of cover ideal of Ferrers graphs Algebraic properties of overflow semirings Large imperfect fields are existentially closed in function fields after finite constant extension Implicitization of rational hypersurface...

不変量と複体と相関関数 - 2026/6/1の論文3本 01.06.2026

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/2026-06-01/ On Modular Invariants of Truncated Polynomial Rings The NF-operator and the NF-Numbers of Simplicial Complexes Constraining Conformal Correlators

単項イデアルとコホモロジーと超曲面 - 2026/5/29の論文4本 29.05.2026

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/2026-05-29/ Cohomological support varieties for monomial ideals A sharp bound for the Frobenius test exponents in generalized Cohen-Macaulay local rings Remarks on hypersurfaces in $\mathbf{P}^1\times Z$ Semi-Bousfield classes and nonmonotone perversities

対称代数とジョルダン型 - 2026/5/28の論文2本 28.05.2026

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/2026-05-28/ Free Resolutions of Symmetric Algebras of Ideals with Deviation Two Jordan types commuting with a hook partition

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