プレプリどんどん: math.AC

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/

1. On the closed neighborhood ideal of the square of broom and double broom graphs
2. A comparison of the v-number of a monomial ideal and its integral closure
3. An Improved Upper Bound for the Perturbation Index
4. The coordinate ring of the k-fold iterated commutator locus for 2x2 matrices
5. An explicit non-elementary matrix over a bivariate Laurent polynomial ring
6. Universality in the algebra and topology of cographs
7. The ozone group of $U_q^+(B_2)$
8. Layered mixed matrices and reaction networks
9. Filtrations on D-modules and multiplicities of roots of Bernstein-Sato polynomials

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/

1. Power sums of critical points of gap polynomials for symmetric and pseudo-symmetric numerical semigroups
2. Symbolic Powers and Asymptotic Invariants of GL-Invariant Ideals
3. Relative approximation degrees and the henselian rationality problem over perfect fields
4. Cohen--Macaulayness of $\mathrm{Inc}(\mathbb{N})$-Invariant Chains of Edge Ideals
5. Quasi S-n-ideals in commutative semirings
6. Graded Betti numbers of graded M\"obius algebras of uniform matroids
7. Artin-Schreier geproci configurations in projective spaces of arbitrary dimension
8. Koszul Orlik--Solomon Algebras from Non-supersolvable Arrangements
9. A Polynomial PDE Criterion for the $-n/d$ Root of the Bernstein-Sato polynomial of Homogeneous Ideals
10. The type and cardinality of minimal presentations of numerical semigroups with embedding dimension four
11. An obstruction to the maximal singularity of the Hilbert scheme of points on threefolds

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/

1. Bouvier's Conjecture Is True
2. On the vertex connectivity of weakly zero-divisor graph of commutative rings
3. Homology of non-matching complexes under edge additions and applications to their Stanley-Reisner ideals
4. Localized Persistent Commutative Algebra
5. Smooth Counterexamples to the Eisenbud--Schreyer--Weyman Ulrich Existence Problem
6. Most $(0,1)$-polytopes are not normal
7. Characterization of Stanley-Reisner varieties by their automorphism group

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/

1. Trace ideals of syzygies
2. A counterexample to the localization problem for AB rings
3. Extension of valuation rings as limits of complete intersection algebras
4. Krasner Completions of Filtered Bands
5. Unique factorization results for generalized power series
6. Symbolic Rees algebras of complementary edge ideals
7. Integrally closed ideals with $e_{2}(I)=e_{1}(I)-e_{0}(I)+\lambda(A/I)$
8. Axiomatics for generic categories in positive characteristic
9. Weighted Syzygies of Pointed Curves
10. Palindromic real-rooted polynomials and $h$-vectors of polytopes
11. On Algebraic Integrability of Vector Fields with Rational Function Coefficients that Separate Variables
12. Resultant multiplicity via projective degrees and applications to tensor eigenvalues
13. Openness of Fourier--Mukai loci for algebraic spaces
14. Cohomology characters on the incidence correspondence
15. Deformed Convolution, Cumulant Transforms, and Semigroup Generators in Hurwitz Series Rings

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/

1. Homological dimensions of derived Hom complexes
2. Weakly Newton-nondegenerate binomial ideals
3. The arithmetic rank of nullcones of classical invariant rings
4. Truncations of the ring of number-theoretic functions, revisited
5. Thresholds of singularities in characteristic zero
6. Approximating DVRs by elements of bounded ramification
7. The symbolic and divisorial analytic spreads are finite
8. Trinomial containment in polynomial ideals is undecidable
9. Poisson bialgebras by deformations-to-quasiclassical limits
10. Edge codes constructed from unicyclic graphs

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/

1. Diagonal F-threshold of binomial edge ideals
2. On the existence of the maximal ideal in the set of associated primes of monomial ideals
3. Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity

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/

1. Comparing v-numbers of symbolic and ordinary powers of squarefree monomial ideals
2. Linear Independence of Polynomial Compositions and Identifiability of Deep Neural Networks
3. On the weak Lefschetz property of Artinian Gorenstein algebras of codimension three in arbitrary characteristic
4. Boxicity and Threshold Dimension of Zero Divisor Graphs
5. Disjoint and nearly disjoint sums of matrix multiplication tensors and their centroids
6. Graded Ehrhart theory for hypersimplices

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/

1. Contravariantly finite resolving subcategories over commutative local rings are trivial ones
2. Multi-graded generic initial ideals, regularity, and the optimal colorful fractional Helly theorem for $d$-Leray complexes
3. Reduction numbers for witnesses to the generalized Loewy length
4. Polynomial extensions do not preserve the strong finite type property
5. Multiplicity-One Cox Rings of Toric Point Blow-Ups
6. On the Multiplicative Thom-Sebastiani Property for Bernstein-Sato Polynomials of Ideals
7. De Morgan's Laws in Tensor-Triangular Geometry
8. Some results on null ideals of finite rings

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/

1. Eventual Nonstandard Koszulness Fails for Veronese Subrings of Weighted Polynomial Rings
2. Counterexamples to Peskine-Szpiro's conjecture on modules of finite projective dimension
3. On exceptional cliques in matrix rings
4. Componentwise linear monomial ideals
5. Fr\"oberg's Conjecture for Quintics and Septics in Four Variables
6. Local stability of Frobenius and Artin--Schreier base-change: a comparison

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/

1. A Complete Characterization of Realizable (Embedding Dimension, Multiplicity) Pairs for Complete Intersection Numerical Semigroups
2. Some non-principal rigid ideals in Gorenstein domains of dimension one
3. Duality Between Injective Envelopes and Flat Covers over Noether Algebras
4. Cosyzygy modules
5. On the Hilbert series of ideals generated by general linear forms
6. Point Counts of Cluster Varieties of Marked Surfaces Over Finite Fields
7. Marshall Quotients of the Rings $\mathbb Z/n\mathbb Z$
8. A tight bound for affine-linearity, via universal ballot matrices
9. The invariant ring of degree-four rational maps on the projective line