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/2026-06-24/

1. Polynomials of minimal border rank
2. Graded Betti numbers of generalized split--join graphs and applications

arXiv math.ACの新着論文14本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-06-23/

1. Adjoining Idempotents to a Commutative Ring preprint version
2. Sums of squares on curves and surfaces
3. Betti Numbers of Sequentially Cohen-Macaulay Co-Chordal Graphs and Their Applications
4. Prescribed Initial Behavior of $\mu(I^k)$
5. On Two Approaches to Cluster Structures on Partial Flag Varieties
6. Homology of Vietoris-Rips complexes of hypercube graphs via group actions
7. Multigraded Regularity of the Complete Flag Variety
8. Occupation Ideals and Parikh Images in Markov Support Dynamics
9. On Bounds of Extension Degrees for Similarity of Integral Matrices over Number Fields
10. The Hermitian Distance degree of Tensor spaces
11. An organizing principle in the study of the Jacobian Conjecture
12. Smoothability of the one-step loci with Hilbert functions $(1,5,6)$ and $(1,5,7)$
13. Hierarchical Reinforcement Learning for Sparse-Reward Search in Commutative Algebra
14. Graded differential polynomial rings

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/2026-06-19/

1. Non-Noetherian Bass and Betti numbers
2. A simple proof for Hochster's Theorem
3. Plane curve singularities and Fitting ideals
4. On Ziegler pairs of line arrangements: from non-existence to abundance

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/2026-06-18/

1. Closing two recent conjectures related to the Jacobian ideal of hyperplane arrangements
2. Symmetric and Isotypic Hilbert Series for Symmetric Ideals
3. On monomial resonance
4. Trivariate Splines on Fans of Hyperplane Arrangements and Koszul Homology
5. A Pascal-type construction of the Segre cubic and the Cremona--Richmond configuration

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/2026-06-17/

1. Principal symmetric ideals in the coordinate rings of curves
2. Sequential 1-Cohen-Macaulayness for direct sums of modules
3. Derived functors and Hilbert polynomials over Gorenstein rings
4. Counting Schur Rings over Cyclic Groups of Semi-prime Order
5. Deformation Theory of Monoid Schemes I
6. On monoids up to symmetry
7. Duality of monoids up to symmetry

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/2026-06-16/

1. Regular sequences of linear forms on monomial ideals
2. When is Frobenius epic?
3. On the pertubations of E-depth, Ef-depth and sequentially Cohen-Macaulay locus
4. Some Remarks About Saturation of Ideals
5. Cohomology of Flag Superschemes and Syzygies of Compositional Varieties
6. Residue ideals of hyperplane arrangements
7. Testing the max-flow min-cut property and the replication conjecture
8. Higher cotangent cohomology for Stanley-Reisner rings
9. Existentially closed fields with operators in various categories

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/2026-06-15/

1. Further results on monomial ideals of projective dimension one
2. A Generalization of a Theorem of Nakajima-Landweber-Stong
3. (n,Q)-ideals ans phi-(n,Q)-ideals of commutative rings
4. Higher syzygy bundles and the Eisenbud-Huneke-Ulrich conjecture
5. Nonsimplicial toric Nullstellensatz and stacky GKZ theory
6. The Gr\"obner Version of White's Conjecture is False
7. Hilbert's basis theorem for Poisson Ore extensions

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/2026-06-12/

1. Weakly Ding injective complexes
2. Root Clusters and Multiclusters over Imperfect Hilbertian Fields

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/2026-06-11/

1. Regularity is bounded on a quasi-excellent Noetherian scheme
2. On the number of generators of licci ideals
3. On $S$-prime and $S$-primary elements in multiplicative lattices
4. On Perfectoidizaiton of Finite Algebras over a Perfectoid Ring

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/2026-06-10/

1. Complexes of finite Gorenstein flat and injective dimensions
2. Unique decomposition of orders
3. There are matroid toric ideals without quadratic Gr\"obner bases
4. Enumeration of certain subsets of uprooted trees and spherical parking functions