プレプリどんどん: math.AC

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/2026-08-10/

1. On the Radical Computation of Parametric Ideals over Finite Fields
2. An Explicit Five-Variable Counterexample to the Generalized Vanishing Conjecture
3. Initial Ideals, Low-degree Foliations and the Hilbert Scheme of Points on $\mathbb{CP}^{2}$: A First Approach
4. Vector fields of graphic arrangements and face rings of simplicial posets
5. The basic tropical polynomials generate the semifield of $r$-symmetric tropical rational functions

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/2026-08-07/

1. Restrictions on the Betti tables of licci ideals
2. The graded Betti numbers are not tropical invariants

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/2026-08-06/

1. Krull--Gabriel dimension and Cohen-Macaulay representations
2. Behrend function and blowup algebras
3. Spherical Completeness, Coherence, and GCD Properties of Formal Power Series and Witt Vector Rings
4. Frobenius--Witt cotangent complex for derived 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/2026-08-05/

1. A Fitting criterion for quasi-Gorenstein local rings
2. A Dimension-Two Counterexample to the Separable Jacobian Conjecture in Characteristic Two
3. Cluster Algebras, Cube Roots, and Energy Correlators in $\mathcal{N}=4$ SYM

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/2026-08-04/

1. Ulrich modules : decomposition and relation with rings having minimal multiplicity
2. GL-algebras in positive characteristic III: the divided power algebra
3. $\mathrm{v}$-number of Lov\'asz-Saks-Schrijver Ideals and (parity) binomial edge ideals of graphs
4. Hilbert Series and Logarithmic Degrees of $A$-Hypergeometric Series
5. Homological shift ideals of weighted oriented graphs
6. A cusp surface singularity is Frobenius liftable
7. Nash structure of curves over a valued field and tame henselian rationality
8. Cluster Algebras for Bosonic Plethysm
9. A uniform decomposition theorem for invariant differential operators on imprimitive complex reflection groups G(r,p,n)
10. The catenary degree of monoids of product-one sequences

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/2026-08-03/

1. Small Resultant Systems via Linear Combinations
2. Bounds on the second Hilbert coefficient and the depth of the associated graded ring

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/2026-07-31/

1. When does a derivation of a ring admit the exponential?
2. $\alpha\beta$-Tessarine Toolbox: A high-performance MATLAB framework for hypercomplex tensor algebra
3. Local cohomology modules with nonclosed support
4. Transcendental Hilbert-Kunz Multiplicities
5. Cotorsion modules relative to a hereditary torsion theory
6. On phi-(k,n)-absorbing delta-primary hyperideals
7. Homotopy limits of complexes
8. Derangement permutation matrices and orbit harmonics

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/2026-07-30/

1. Exploring a local variant of the Buchsbaum--Eisenbud--Horrocks conjecture
2. Asymptotic Resurgence of Facet ideals of Graphic Matroids
3. A Riemann-Roch theorem for Frobenius quotients
4. The finite degree formula for normalized volumes

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/2026-07-29/

1. Reduction of the Finite Generation Problem for Leading Term Ideals under Arbitrary Rational Monomial Orders to the Lexicographic
2. The Mendez-Pinto-Villarreal Conjecture for some classes of monomial ideals
3. On the flatness of the Bergman space as a module over the Hardy algebra

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/2026-07-28/

1. Carlsson's Conjecture and the Generalized Total Rank Conjecture in Characteristic Two
2. The Bi-UFS Positive Conjecture for algebraic semidomains
3. On the distributivity of the subtractive closure operator over ideal operations in hemirings
4. Interval Rings
5. Nearly Gorenstein blow-up algebras over two-dimensional regular local rings
6. Algorithms and results on multiparameter counting of numerical semigroups
7. Counterexamples to Norm Conjectures of Wehlau in Modular Invariant Theory
8. A face-isolation proof of the two-variable Gaussian Moments Conjecture