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/

1. Koszul modules, holonomy Lie algebras, and resonance of groups and CDGAs
2. A local-global correspondence for perfectoid purity
3. Additive index and Carlitz rank

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/

1. Associated primes of powers of closed neighborhood ideals and diameters of graphs
2. A Necessary and Sufficient Condition for Uniqueness of Euclidean Division
3. Finite projective dimension and a question of Jorgensen
4. On the minimal dimension of maximal commutative subalgebras of $M_6(k)$
5. Topological and differentiable aspects of Clifford semigroups
6. On the degree of the singular subscheme of hypersurfaces in ${\mathbb P}^n$
7. Boundary $h^\ast$-vectors and unimodular triangulations

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/

1. Numerical Semigroups with $a_e = 2g+1$

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/

1. Smith Form Equivalence for Several Classes of Multivariate Polynomial Matrices

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/

1. Epimorphisms of local cohomology modules, a general Peskine-Szpiro theorem, and an application to sheaf cohomology vanishing for thickenings
2. New bounds on Castelnuovo--Mumford regularity of monomial curves and application to sumsets
3. Multiple Tor modules: rigidity and Mayer-Vietoris spectral sequences
4. On the regularity index of the minimum distance function in projective nested Cartesian codes
5. On $S$-Prime Element Principle
6. $F$-finite schemes have a dualizing complex
7. Higher rank Gelfand-Kapranov-Zelevinsky fans

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/

1. Geometry of numbers and degree bounds for rational invariants
2. Change-of-Rings Theorems for the Small Finitistic Dimension
3. The reciprocal complement of a surface
4. Powers of Edge Ideals of Prime Ideal Graphs: Generators, Primary Decomposition, and Linear Powers

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/

1. Regularity of Squarefree Powers of Edge Ideals of Whiskered Cycles
2. A criterion for log regularity via log Frobenius-Witt differentials
3. Varieties of minimal degree in weighted projective space
4. Shuffling the Deck: Invariant Theory and the Graph Reconstruction Conjecture
5. Pulling back Cartier structures along regular maps

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/

1. Tensorial Constraints for Commuting Endomorphisms of the Generalized Tangent Bundle