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/2026-07-10/

1. Waring Problem for matrices over finite local rings

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/2026-07-09/

1. Schreyer resolution of modules over formal power series
2. Analytic Spread via Linear Matroids
3. The space of preorders on a commutative monoid

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/2026-07-08/

1. Graded families of ideals and convex regions
2. Generalized Marshall Quotients and Real Semigroups of Continuous and Differentiable Functions
3. Purity of extremal rays of Betti cones
4. Groebner.jl: Fast Gr\"obner Tracing in Julia
5. Fast Rational Univariate Representation via Gaussian Elimination

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/2026-07-07/

1. On the additive structure of algebraic valuations of polynomial semirings II
2. On the smallest numerical semigroups closed under affine maps
3. On Landweber$'$s unique factorization problem
4. Standard Veronese degree and star configurations
5. Ordered alternating paths and the depth of symbolic powers of cover ideals of graphs
6. On two questions of Qi on saturated filtrations
7. A Join-Matching Theorem for Squarefree Powers of Edge Ideals, with Applications to Wheel and Related Graphs
8. A Polynomial Recovery Criterion for Forced Commutativity in the Matrix Square-Root Fiber of a Square-Free Cubic Polynomial
9. Real radiciality and monoreal extensions
10. Localization and Affine Schemes over $\mathbb{F}_1$
11. A note on prismatic sites for p-quasisyntomic rings
12. Algebraic Modelings of the Supersingular Isogeny Problem
13. Integer Coefficient Power Series with Prescribed Zero Sets

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/2026-07-03/

1. Existence of a Nonsmoothable Local Gorenstein Algebra with Smoothable Q(0)
2. A nine-line counterexample to a conjecture on the minimal degree of Jacobian relations
3. Quasi-$F$-splitting versus log canonicity
4. Bimodules in differential polynomial rings
5. Deterministic Polynomial-time Exact-root Computation for Sparse Polynomials with Bounded Total Degree

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/

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

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/

1. A lower bound for the Rouquier dimension of derived categories over commutative rings
2. Intersection theorems over DG-rings revisited
3. Quasi-$F$-singularities and singularities in birational geometry
4. Segre-Determinantal Loci and the Image Variety for Three Flatland Cameras

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/

1. A note on strong affine semigroups
2. Powers of matrices with all principal minors equal to 1
3. Transcendental Epsilon Multiplicity via Divisor Volumes
4. Defect Antichains and Multigraded Symbolic Defect Series of Edge Ideals under Graph Blow-ups
5. Surjective Stability of Dickson-Siegel-Eichler-Roy Elementary Orthogonal Group
6. Perfect closure detects injective dimension
7. Hankel and Multiplication Tensor Completions for Cactus Rank
8. Chordality, syzygies, and shellability for hypergraphic analogues of interval graphs
9. Definable Eventual Equalizers
10. On Property $N_p$ of line bundles on smooth projective toric varieties
11. A One-Variable Frame Construction For Irrational Components of Hilbert Schemes of Points

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/

1. Varieties with Ulrich exterior powers of the tangent bundle

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/

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