プレプリどんどん: math.AC

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/2026-10-06/

1. Peskine and Szpiro's Dimension inequality holds over local rings of depth at most one
2. Ramification invariants of pure extensions
3. On injective dimension of the conormal module
4. Traces of powers of canonical ideals
5. On the $\phi$-Weak Global Dimensions and $\phi$-Global Dimensions
6. Asymptotic Castelnuovo-Mumford regularity of (co)homology modules involving powers of ideals
7. Polynomials with restricted support and maximal zeros on a finite Cartesian set
8. K-injective complexes in commutative algebra
9. Reflexive ideals of a numerical semigroup
10. The separator-based derivations for arrangements of monomial groups
11. Borel subgroups of the automorphism group of an affine variety

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/2026-10-05/

1. The Delta Set of a Numerical Monoid Generated by a Generalized Arithmetic Sequence
2. Invariant Rings of Adjacent-Quadratic Triangular Derivations
3. Almost Gorenstein standard graded rings and their localizations
4. Quillen's finiteness conjecture for the cotangent complex in characteristic two
5. Bounds for Regularity of Toric Varieties in Terms of Multiplicity
6. Sharp FRS and singularity thresholds for off-diagonal Gram maps
7. some arithmetical aspects of the two dimensional jacobian conjecture

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/2026-10-02/

1. On the totally acyclic condition and the Auslander-Reiten Conjecture
2. Alternating Divisoriality of Prime Ideals along Infinite Chains of B\'ezout Domains
3. On the Krull dimensions of rings of integer-valued polynomials and polynomial rings
4. A Reduced Non-McCoy Ring with the Annihilator Condition and $(A_2)$
5. Frobenius multiplicities and F-signatures of Grassmannians of two-planes
6. Automorphisms of hypersurfaces in polarized varieties

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/2026-10-01/

1. Symmetric-determinant apolarity in odd characteristic
2. The finitistic weak dimensions of Gaussian rings
3. Prime Ideals and Projective Closure in the Boolean Polynomial Semiring
4. Stanley-Reisner Theory in Mixed Characteristic
5. Limit F-invariants of the simple singularities and the Fermat hypersurfaces
6. Componentwise linearity, Fr\"oberg's analogue, and classification of linear support-two monomial ideals
7. Arithmetic pseudo-Frobenius numbers and determinantal numerical semigroup rings

arXiv math.ACの新着論文15本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-30/

1. Zero divisors of Gorenstein Rings
2. A note on inverse limits of injective modules
3. Christophersen's problem for monomial algebras
4. Weak and strong Lefschetz properties for vertex cover Artinian algebras associated to graphs
5. The $\mathrm{v}$-number of powers of ideals associated with chessboard complexes
6. Powers of Alexander Duals of Stanley-Reisner Ideals of Chessboard Complexes
7. Characteristic-free Kn\"orrer periodicity
8. The WittVectors package for Macaulay2
9. Weak and Serre Lifting of Cyclic Modules and the Liftability of Auslander Duals
10. Rigidity conditions for binomials
11. Calculating Hodge and weight filtrations on localizations
12. The $F$-signature Function on the Big Cone
13. Gorenstein homological properties of n-trivial extensions of rings
14. Schreyer Resolutions over the Exterior Algebra
15. Deep Points of Cluster Algebras II: Punctured Marked Surfaces

arXiv math.ACの新着論文26本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-29/

1. Characterizing Steiner Systems via Betti Numbers of Monomial Ideals
2. On the $b$-invariant of a normal graded ring
3. Maximal shifts below the Taylor bound
4. Bernstein--Sato ideals might not be linear
5. The Waldschmidt constant of square-free principal Borel ideals
6. Binomial edge ideals of bipartite complements of even cycles
7. The F-signature of Determinantal Rings
8. Wide subcategories over commutative coherent rings
9. Generalized mixed sequence multiplicity
10. Total Rings of Quotients with Arbitrary Weak Global Dimensions
11. DG Algebra Structures on Mapping Cones with an Application to Edge Ideals
12. Splitting the Matroid Determinant
13. On embeddings of rings into their canonical modules
14. A B\'ezout domain that is not an elementary divisor domain
15. Primary Decompositions in Lorentz-Covariant Rings
16. Algebras with Variable Structural Constants and Their Applications
17. Algebras with Variable Operator-Valued Structural Constants and Their Applications
18. Relative Global Dimension of Controllable Extensions
19. Gorenstein cotorsion pairs induced by balanced pairs
20. Factorizations in algebraic monogenic semidomains
21. The Moment Method for Computing Real Points of Sparse Polynomial Systems
22. Coordinate descents, monodromy, and finite normalization of marked-root maps
23. Matching algebras and their Dunkl subalgebras
24. Strong and Explicit Forms of the One-Sided Nullstellensatz over Division Rings
25. A Quadratic Lower Bound on Determinantal Complexity
26. On the De Rham Cohomology of Zero-Dimensional Schemes

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/2026-09-28/

1. Asymptotic multiplicity sequences of graded families
2. Structure of irreducible homomorphisms to/from free and injective modules
3. Edge ideals of complements of a class of circular interval graphs
4. Neural Ideals and Neural Codes: An Algebraic Framework for Neural Network Classification and Feature Interpretation
5. Special Cohen--Macaulay sheaves on partial resolutions of rational surfaces singularities
6. On the support of double Grothendieck polynomials
7. Non-vanishing of the structure-sheaf cohomology of affine henselian schemes and henselian affinoids

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/2026-09-25/

1. Algebraic Expressivity Certificates for Shallow Polynomial Neural Networks
2. Matrix factorization of quotient singularities of type A and D
3. Jordan Blocks, Differential Traces, and Colon-Ideal Noncontainment over Noetherian Quotients
4. Systems of parameters consisting of linear forms for monomial ideal quotients
5. Primality of dilated closed path polyominoes
6. Reduced and coreduced modules with respect to inverse families of ideals
7. Specht ideals for the imprimitive complex reflection group $G(r,1,n)$: geometric orbit types and a dominance theorem

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/2026-09-24/

1. Dimensions of permanental varieties in arbitrary size
2. Two-sided bounds for canonical traces of Veronese subalgebras
3. Resultant of an equivariant polynomial system with respect to the reflection group $G(r,n)$
4. Generic $\mu$-power ideals, fat points, and symbolic powers
5. Conjugation Differential Invariants of $\mathrm{SL}_2(\mathbb{F}_q)$ on trace-free matrices
6. Field independence of the first seven Betti numbers of flag complexes
7. The prime spectrum of rings of integer-coefficient power series on the disk
8. Degrees and directional defects of embedded algebraic vector bundles

arXiv math.ACの新着論文12本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-23/

1. Ideal Structures in Idealizations and Cardinalities of Annihilating Ideals
2. Notes on Matlis reflexive modules
3. A proof of the Eisenbud-Huneke-Ulrich conjecture
4. Primary decompositions via exponent matrices
5. Poincar\'e Duality and Quadratic Refinements over Laurent Rings
6. Resultant of an equivariant polynomial system with respect to a direct product of $r$ symmetric groups
7. Complete intersection and quasi-homological dimensions
8. Equivalence of Extensions and the Perturbation Index
9. The Non-Lefschetz Locus of Monomial Complete Intersections in Positive Characteristic
10. The Betti numbers and Golodness of numerical semigroup rings of Sally type
11. Bernstein-Sato ideals for free hyperplane arrangements
12. Pairs of lattice complements with complementary homology