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

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/2026-06-25/

1. On near atomicity and a characterization of the FF property
2. Polynomial Extensions of Non-Noetherian Cohen--Macaulay Rings and Torsion-Free Localization
3. Nonsimilar half-neighbors over fields of characteristic 2
4. Weddle schemes
5. Effective Computation of Mutation Paths and Generators of Cluster Automorphism Groups

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