プレプリどんどん: math.AC

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/2026-07-27/

1. Prime and Cohen--Macaulay binomial ideals with linear resolution
2. A five-variable counterexample to the Hessian conjecture, and the low-dimensional status of the Jacobian and Hessian conjectures
3. A class of polyocollection ideals with quadratic Gr\"{o}bner bases

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/2026-07-24/

1. On mappings with Jacobian one
2. Asymptotic Resurgence of Facet and Stanley-Reisner ideals of Matroids
3. Lower bounds on the strength of the determinant
4. An Explicit Characteristic-$2$ Counterexample to the Separable Jacobian Conjecture
5. Surjectivity of Engel Maps over trace zero matrices in $\mathrm{M}_2(\mathcal{O})$
6. New conjectures on multiplicities of tensor eigenvalues

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/2026-07-23/

1. Quadratic Ideals in Six Variables and the Eisenbud--Green--Harris Conjecture
2. A Counterexample to the Global Injectivity of a Jacobian Mapping in \mathbb{C}^5 and Its Analytical Roots

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/2026-07-22/

1. Regularity and depth of binomial ideals arising from combinatorics
2. Admissible bases and generic lattice ideals
3. A sublinear bound for the regularity of subspace arrangements
4. Border Bases and Border Basis Schemes
5. Picard groups and composition nilpotence for finite cellular isotropic spectra
6. Heaps of modules: homological aspects
7. Obstructions to embedding singular curves in toric varieties
8. A Counterexample to Wehlau's Conjecture on Noether Numbers
9. Counterexamples to the xz-Conjecture and the Mathieu Conjecture for SU(2)
10. Eventually nondecreasing quasi-polynomials

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/2026-07-21/

1. On generalization of two results of Foxby
2. Betti Tables and the Licci Property
3. The Weak Zero-Divisor Difference Graph of a Finite Commutative Ring
4. Homological Detection by Perfectoid Algebras
5. The Miracle of Flatness in Algebraic Geometry
6. Degenerating Discriminants
7. Small Counterexamples to the Gaussian Moments Conjecture

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/2026-07-20/

1. On complete intersection projective closures of monomial curves

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/2026-07-17/

1. In Memoriam: Professor Dr. Winfried Bruns (1946--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/2026-07-16/

1. Regularity, local cohomology and injective modules under contracting endomorphisms
2. The variety of nilpotent matrices is $F$-regular
3. Integrability in the sense of Hasse-Schmidt and $p^e$-basis
4. Greedy fusion
5. Matroid correspondence

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/2026-07-15/

1. Some Remarks on Hessians and Wronskians
2. Semi-Invariants of a Matrix and Covector
3. Generalized symmetry in the vanishing of Ext
4. LipschitzSaturation: A Macaulay2 Package for Computing Lipschitz Saturations of Modules and Toric Varieties

arXiv math.ACの新着論文16本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-07-14/

1. Factorizations in rational monogenic semidomains
2. Homological invariants of edge ideals of the multiple extended complete split-like graphs
3. Buchsbaum modules and parameter ideals under flat extensions
4. Polynomials over idempotent semifields
5. Characteristic Independence of Betti Numbers of Monomial Ideals in Five Variables
6. Geometrically vertex decomposable star configurations
7. The Arithmetic of Semirings Part I: Ideals
8. Graded n-Absorbing Ideals and their Combinatorial Structure
9. Existence of a far-flung Gorenstein numerical semigroup attaining the Herzog--Kumashiro--Stamate bound
10. Integral closure for (additively idempotent) semirings
11. Extending valuations of local domains to complete local domains without changing the value group
12. Common extensions of valuations to rational function fields
13. On the Hilbert depth of a special class of squarefree monomial ideals
14. Poisson derivations and cohomology of Poisson nilpotent algebras
15. Collinearly complete sets and finite subgroups from configurations of skew $n$-planes in $\mathbb P^{2n+1}_K$
16. Trajectory Planning and Certification for 3-DOF Robot Manipulators Using Real Quantifier Elimination Based on Comprehensive Gr\"obner Systems