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プレプリどんどん: math.AC
by プレプリどんどん編集部
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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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
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 idealsWhen is Frobenius epic?On the pertubations of E-depth, Ef-depth and sequentially Cohen-Macaulay locusSome Remarks About Saturation of IdealsCohomology of Flag Superschemes and Syzygies of Compositional VarietiesResidue ideals of hyperplane arrangementsTesting the max-flow min-cut property and the replication conjectureHigher cotangent cohomology for Stanley-Reisner ringsExistentially closed fields with operators in various categories
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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
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 oneA Generalization of a Theorem of Nakajima-Landweber-Stong(n,Q)-ideals ans phi-(n,Q)-ideals of commutative ringsHigher syzygy bundles and the Eisenbud-Huneke-Ulrich conjectureNonsimplicial toric Nullstellensatz and stacky GKZ theoryThe Gr\"obner Version of White's Conjecture is FalseHilbert's basis theorem for Poisson Ore extensions
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Ding単射複体とルートクラスター - 2026/6/12の論文2本
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 complexesRoot Clusters and Multiclusters over Imperfect Hilbertian Fields
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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
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 schemeOn the number of generators of licci idealsOn $S$-prime and $S$-primary elements in multiplicative latticesOn Perfectoidizaiton of Finite Algebras over a Perfectoid Ring
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ゴレンシュタイン次元と matroid と樹形図 - 2026/6/10の論文4本
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 dimensionsUnique decomposition of ordersThere are matroid toric ideals without quadratic Gr\"obner basesEnumeration of certain subsets of uprooted trees and spherical parking functions
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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
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 modulesThe relation type of point configurations in the projective planeOn the Regularity of Dominant and Almost Complete Intersection Monomial IdealsWeakly Q-ideals of commutative rings$\textbf{k}$-neighborhood ideals of graphsLinked sheaves of modulesSolution Module and Linear ClosureLocally finite sets of derivationsConstruction and finite generation of the strict closure of ringsWhen is the strict closure of rings finitely generated?Deformation Theory and Torus-Fixed Geometry of the Nested Hilbert Scheme of PointsColocalizing subcategories on differentially graded algebrasBertini theorems for Hilbert-Samuel multiplicity over finite fields
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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
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 DimensionsA study of maximal shifts in the minimal graded free resolution of the residue fieldPolyhedral models for K-theory of toric and flag varietiesIdeals defining components of two-row Springer fibers
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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
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 IdealsA Counterexample to Bhatt-Lurie's Cohomological Dimension Conjecture
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ヒルベルトクンツ多重度とF-純閾値 - 2026/6/4の論文2本
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 decreasesBounds on the F-Pure Threshold of Isolated Hypersurface Singularities
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ホモロジーとベッチ数とシジジー - 2026/6/3の論文5本
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)homologyBetti numbers of split graphsComplexity, curvature and homological dimension of modules under linkageSyzygies of Isotropic Kalman VarietiesA Complete Classification of 2-Linear Neighborhood Complexes
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有界格子と半環と関数体と行列 - 2026/6/2の論文9本
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 latticesProjective dimension of powers of cover ideal of Ferrers graphsAlgebraic properties of overflow semiringsLarge imperfect fields are existentially closed in function fields after finite constant extensionImplicitization of rational hypersurfaces by syzygies with respect to coefficient idealsRosenbrock's Theorem characterizes Pr\"{u}fer domainsJordan types for pairs of commuting nilpotent matrices: A surveyA natural e\~ne product construction of the Big Witt ringLocalizing subcategories for algebraic stacks
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不変量と複体と相関関数 - 2026/6/1の論文3本
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 RingsThe NF-operator and the NF-Numbers of Simplicial ComplexesConstraining Conformal Correlators
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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
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 idealsA sharp bound for the Frobenius test exponents in generalized Cohen-Macaulay local ringsRemarks on hypersurfaces in $\mathbf{P}^1\times Z$Semi-Bousfield classes and nonmonotone perversities
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対称代数とジョルダン型 - 2026/5/28の論文2本
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 TwoJordan types commuting with a hook partition
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パーフェクトイド塔と辺環とBetti数 - 2026/5/27の論文7本
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/2026-05-27/A palindromicity criterion for the $h$-polynomials of bipartite edge ringsKW Semigroups -- Their Betti Numbers, Ap\'ery Posets and Tangent ConesA characterization of perfectoid towers in terms of conormal conesStructural properties and tilting correspondences of perfectoid towersRegular rings and perfectoid towers$\mathbf{F}$-jumping numbers can be irrationalEquivariant Maximal Cohen-Macaulay sheaves on the minimal orbit closures
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ベッティ数と格子と二項辺縁イデアル - 2026/5/26の論文10本
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/2026-05-26/Betti numbers of inductively pierced codesS-Filters of bounded latticesA Classification of Unmixed Binomial Edge Ideals of K\"onig TypeOn some open problems in commutative algebra resolved by RethlasExplorations of Matroid ComplexesProjectable reduced $f$-rings admitting elimination of quantifiersCounting Rational Points on Danielewski and Double Danielewski Surfaces over Finite FieldsPoisson fields of two variablesInductive approach to chromatic and characteristic polynomialsProxy smallness meets $t$-structures
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カルティエ代数とトーリックイデアル - 2026/5/25の論文2本
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/2026-05-25/Cartier algebras through the lens of $p$-familiesIncidence toric ideals and three-point functions
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単項イデアルとベクトル束と多項式系 - 2026/5/22の論文5本
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/2026-05-22/An algebraic proof of the Milnor-Orlik theoremCellular resolutions of second powers of square-free monomial ideals with divisibility relationsBCM-regularity of diagonal hypersurfaces and plus-pure thresholds in mixed characteristicA Symbolic Homotopy Algorithm for Solving Composable Polynomial SystemsOn the cohomological classification of vector bundles on smooth real affine surfaces and threefolds
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グラフと導出と等変イデアル - 2026/5/21の論文3本
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/2026-05-21/Critical subgraphs and the regularity of symbolic powers of cover ideals of graphsn-trivial extensions and multi Hasse-Schmidt derivationsEquivariant ideals of polynomials
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不変量とレフシェッツ特性と多項式環 - 2026/5/20の論文10本
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/2026-05-20/An algorithm for invariants of elementary abelian groupsThe importance of being isolatedOn n-ary S-hyperidealsSubarrangements of type A: the weak Lefschetz property of the Artinian Orlik-Terao algebraGolod ideals in combinatorial commutative algebraCyclotomic finite-field Fourier spectra: Galois descent, native subfields, and residual codingComputing Certificates in Archimedean Univariate Saturated Quadratic ModulesA C implementation of the Smith massager algorithmWeak and strong Lefschetz properties for Hartshorne-Rao modules of curves in $\mathbb P^3$Algebraic aspects of unconditional lattice polytopes
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分解と弾性とランクとF署名と導出 - 2026/5/19の論文6本
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/2026-05-19/Factorization in almost Dedekind domainElasticity of Orders from the $S$-relative Davenport Constant: an Arithmetic Application of a Number-Theoretic InvestigationRank varieties over the generic hypersurface IOn positivity of the limit F-signature$\mathbb T$-homogeneous locally nilpotent derivations of trinomial algebrasThe Ring of Differential Operators on a Nodal Curve is not a Bialgebroid
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Rota-Baxter演算子と射影次元と行列分解 - 2026/5/18の論文3本
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/2026-05-18/Rota Baxter Operators on Truncated Polynomial AlgebrasA Linear Bound on the Projective Dimension of Height 3 Quadratic IdealsA category of graded matrix factorizations of a deformed polynomial associated to the $A_{\mu}$-singularity
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整域と半群とコタンジェント複体 - 2026/5/15の論文5本
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/2026-05-15/A counterexample to a conjecture of K\"uronya and Pintye on regularity and integral closureNumerical characterizations for integral dependence of graded modulesOn Numerical Semigroups with Fixed QuotientCommutative Semifields from bijections of the Desarguesian planeFrobenius--Witt cotangent complexes
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超グラフと零因子グラフと代数スタック - 2026/5/14の論文4本
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/2026-05-14/On Some Properties of LCM-Lattices of Edge Ideals of k-Uniform HypergraphsBetti numbers for cochordal zero-divisor graphs of commutative ringsDistance Reduction in Bouquet Decompositions and Toric Ideals of GraphsRemarks on diagonal dimension for algebraic stacks
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ベッティ数とヤコビアンと局所コホモロジー - 2026/5/13の論文5本
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/2026-05-13/Derived complete intersections and polynomial growth of Betti numbers over dg-algebrasGeneralized Andr\'asfai graphs and special Betti diagrams of edge idealsThe v-numbers of permanental idealsBass numbers of graded components of local cohomology modulesThe real Jacobian conjecture for maps with one component having degree 6
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形式的ファイバーと多変数行列とモノイド環 - 2026/5/12の論文4本
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/2026-05-12/Cohen-Macaulayness of formal fibers and dimension of local cohomology modulesQuadratic linear strands of prime idealsMatrix equivalence to Smith normal form: new theoretical results for multivariate polynomial matricesA characterization of monoid graded semihereditary rings
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準射影次元と表面とシジジー - 2026/5/11の論文6本
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/2026-05-11/The derived depth formula for modules of finite quasi-projective dimensionAnalytical solutions for some quadratic ODEs found via linear rational eigenfunctions and the rational eigenfunction varietyThe Isomorphism Classes of the Surfaces $x_1^{a_1} + x_2^{a_2} + x_3^{a_3} + 1 = 0$Spectra of bi-incomplete Tambara functorsAdjoint test modules along Cohen--Macaulay morphismsTensor product surfaces and graded syzygies
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可換環のイデアルと連結性 - 2026/5/8の論文3本
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/2026-05-08/The $i$-extended ideal-based cozero-divisor graph of a commutative ringQuasi sdf-absorbing ideals in commutative ringsConnectedness in Codimension One and the Non-$S_2$ Locus
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辺イデアルとトロピカル分解能と微分代数 - 2026/5/7の論文4本
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/2026-05-07/Depth of edge ideals and vertex connectivity of finite graphsTropical resolutions of configuration hypersurfacesNon-external Proofs of Lagrange Inversion FormulaSymmetric Bessmertny\u{i} Realizations and Field Extension Problems in Characteristic 2 - A Differential Algebra Approach
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イデアルとグラフと多項式 - 2026/5/6の論文6本
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/2026-05-06/The depth function of powers of cover ideals of path graphsAdmissible subgraphs and the depth of symbolic powers of cover ideals of graphsLarge homomorphisms on the homotopy lie coalgebraEpsilon multiplicity, multiplicity=volume formula and analytic spread of family of idealsIndependence of generic forms and the Fr\"oberg conjectureAsymptotic properties of random monomial ideals
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局所dg代数とCohen-Macaulay環と行列代数 - 2026/5/5の論文6本
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/2026-05-05/Quasi-Gorenstein morphisms of commutative local dg-algebrasFrobenius identities for the volume map on Cohen--Macaulay ringsToric rings of signed posets and conic divisorial ideals via matroid theoryMinimal Dimensions of Maximal Commutative Matrix Algebras and Sharp Courter-Type BoundsVeronese Avoiding HypersurfacesNon-abelian extensions of Hom-Jacobi-Jordan algebras
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消去テンプレートとトレースイデアルと結晶コホモロジー - 2026/5/4の論文4本
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/2026-05-04/Elimination Templates in Macaulay2Trace ideals of exterior powers of the module of differentialsOn Krull's Dimension Theorem for Certain Graded Rings and Its ApplicationsDelta characters and crystalline cohomology of abelian schemes
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対称群とフロベニウス多様体とグラフ - 2026/5/1の論文5本
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/2026-05-01/Reverse Tableaux and the Surjectivity of the Component Map in Type $A$Syzygies of the transfer ideal of the symmetric groupFlat coordinates of Frobenius prepotentials related with the reflection groups of types $H_3$ and $H_4$Parseval-Rayleigh identities for graded Artinian Gorenstein algebrasPolynomial and spectra factorization of graphs obtained by iteration the operad of generalized graph composition
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格子と加群と代数とグラフ - 2026/4/30の論文7本
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/2026-04-30/On $S$-Noetherian Latticesk[x]-modules and Core-Nilpotent endomorphismsOn the binary relations defined using GD1 and 1GD inverses over infinite dimensional vector spacesAnalysis of the weight Diagram Associated with Foliations on the $\mathbb{CP}^{2}$Rota-Baxter Operators on Dual Quaternion AlgebraCausal Edge Rees Algebras for Spatiotemporal GraphsOn main eigenvalues of zero-divisor graphs of reduced rings
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コシュル加群とパーフェクトイドとカルリッツランク - 2026/4/29の論文3本
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/2026-04-29/Koszul modules, holonomy Lie algebras, and resonance of groups and CDGAsA local-global correspondence for perfectoid purityAdditive index and Carlitz rank
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随伴素イデアルと射影次元と特異部分スキーム - 2026/4/28の論文7本
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/2026-04-28/Associated primes of powers of closed neighborhood ideals and diameters of graphsA Necessary and Sufficient Condition for Uniqueness of Euclidean DivisionFinite projective dimension and a question of JorgensenOn the minimal dimension of maximal commutative subalgebras of $M_6(k)$Topological and differentiable aspects of Clifford semigroupsOn the degree of the singular subscheme of hypersurfaces in ${\mathbb P}^n$Boundary $h^\ast$-vectors and unimodular triangulations
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数値半群と不変量 - 2026/4/27の論文1本
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/2026-04-27/Numerical Semigroups with $a_e = 2g+1$
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多変数多項式行列とスミス標準形 - 2026/4/24の論文1本
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/2026-04-24/Smith Form Equivalence for Several Classes of Multivariate Polynomial Matrices
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局所コホモロジーと正則性とファン - 2026/4/23の論文7本
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/2026-04-23/Epimorphisms of local cohomology modules, a general Peskine-Szpiro theorem, and an application to sheaf cohomology vanishing for thickeningsNew bounds on Castelnuovo--Mumford regularity of monomial curves and application to sumsetsMultiple Tor modules: rigidity and Mayer-Vietoris spectral sequencesOn the regularity index of the minimum distance function in projective nested Cartesian codesOn $S$-Prime Element Principle$F$-finite schemes have a dualizing complexHigher rank Gelfand-Kapranov-Zelevinsky fans
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数論幾何と環とエッジイデアル - 2026/4/22の論文4本
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/2026-04-22/Geometry of numbers and degree bounds for rational invariantsChange-of-Rings Theorems for the Small Finitistic DimensionThe reciprocal complement of a surfacePowers of Edge Ideals of Prime Ideal Graphs: Generators, Primary Decomposition, and Linear Powers
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辺イデアルと不変量と重み付き射影空間 - 2026/4/21の論文5本
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/2026-04-21/Regularity of Squarefree Powers of Edge Ideals of Whiskered CyclesA criterion for log regularity via log Frobenius-Witt differentialsVarieties of minimal degree in weighted projective spaceShuffling the Deck: Invariant Theory and the Graph Reconstruction ConjecturePulling back Cartier structures along regular maps
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テンソル制約と可換自己準同型 - 2026/4/20の論文1本
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/2026-04-20/Tensorial Constraints for Commuting Endomorphisms of the Generalized Tangent Bundle
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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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