プレプリどんどん: math.AC

プレプリどんどん: math.AC

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プレプリどんどん: math.AC episodes

  • イデアルとコホモロジーと多様体 - 2026/9/22の論文22本

    arXiv math.ACの新着論文22本をご紹介します。

    番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-22/

    1. The Bourbaki Degree of Line Arrangements
    2. On the n-perfectness under split nilpotent extensions
    3. v-numbers of symbolic-ordinary discrepancy modules
    4. Mixed multiplicities and Rees Theorems for graded families and their converses
    5. Quasi-projective dimension for complexes via filtrations
    6. The Coproduct of Ideals and the Coprime Spectrum
    7. On Regular Mac Lane-Vaqui\'e chains
    8. Prime and Cohen-Macaulay ideals of 2-minors with linear resolution
    9. $\aleph_m$-presented Gorenstein flat modules and Gorenstein dimensions of groups
    10. Descent along flat composed with radicalization
    11. The algebraicity of generating functions using nested Artin approximation
    12. The structure of almost symmetric almost complete intersection numerical semigroups
    13. A non-spatial frame of smashing ideals
    14. A codimension formula for intrinsic perturbation of $A$-hypergeometric series
    15. Special valuations and automorphisms of affine log Calabi--Yau varieties
    16. Local cohomology with Schubert support on compact Hermitian symmetric spaces
    17. Bimeromorphic invariance of $\partial\bar\partial$-property and blow-up formulae I: counterexamples and derived category approach
    18. Hilbert functions over the exterior algebra and f-vectors in higher rank I: Amata-Crupi monomial modules, Kozlov polytopes, and r-vectors of simplicial complexes
    19. A local cohomology obstruction to small Cohen--Macaulay modules
    20. Sharp zero estimates for trajectories of polynomial vector fields
    21. 2-step ideals and commuting matrices
    22. Algebraic independence of periods of Anderson modules and their hyperderivatives
    39 min
  • コヒーレント領域とTor代数 - 2026/9/21の論文2本

    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/2026-09-21/

    1. A one-dimensional coherent domain with non-Pr\"ufer integral closure
    2. Classification of Tor algebras for rings from general points by Waring Rank
    5 min
  • イデアルと環とコエンマカレイモジュール - 2026/9/17の論文13本

    arXiv math.ACの新着論文13本をご紹介します。

    番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-17/

    1. Homological invariants of Edge Ideals associated to powers of cycles
    2. Dimensions of a ring and its formal power series ring
    3. Cohen-Macaulay higher conormal and K\"ahler differential modules of squarefree monomial ideals
    4. Normality of ideals beyond the standard graded setting: families from numerical semigroup rings
    5. A criterion for determinantal presentations of numerical semigroup rings
    6. Finitistic injective dimension exceeding finitistic projective dimension for a commutative ring
    7. Density functions for filtrations of graded ideals
    8. Symbolic powers of the ideal of$n$ general points in $P^{n-1}$
    9. On the Stable category of maximal Cohen-Macaulay modules over Gorenstein rings-II
    10. Maximal common divisors in monoid algebras
    11. Geometry of three--generated ideals in the plane
    12. Hamming Ideals and Grobner Bases for ISD-like Syndrome Decoding
    13. Bertini's theorem for $F$-rationality is false
    24 min
  • 消去子と単項イデアルとヤコビ写像 - 2026/9/16の論文5本

    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/2026-09-16/

    1. Annihilator Multiplication Modules: Ring Characterizations and Constructions
    2. Strongly multiplicative sets, idempotent localizations, and $S$-prime phenomena
    3. On atoms and their density in the monoid of monomial ideals
    4. Nilpotent Jacobian maps in dimension three and stable tameness in block extensions
    5. Rings are $\chi$-bounded
    10 min
  • 多項式写像と環の構造と多様体 - 2026/9/15の論文14本

    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/2026-09-15/

    1. The structure of automorphism groups of zero-dimensional monomial algebras
    2. The classification of some polynomial maps in dimension three
    3. Independence polynomials and the weak Lefschetz property for tadpole graphs
    4. On a question of Nori: The high-codimension conductor case
    5. Goldman primes and higher cyclic presentations for the small finitistic dimension
    6. On the iso-Artinianness of one-dimensional Noetherian rings
    7. Baer Splitting Beyond $\tau_q$-Semisimplicity
    8. Generalized divisor topology of commutative rings
    9. On simple extensions generated by key polynomials
    10. Symmetric Models for Syndrome Decoding
    11. Nagata's conjecture on a polynomial automorphism in positive characteristic
    12. AKE principles in roughly deeply ramified henselian valued fields
    13. Polarized varieties without arithmetically Cohen-Macaulay bundles and section rings without graded maximal Cohen-Macaulay modules in characteristic zero
    14. A blowup criterion for regularity
    24 min
  • 不変量と生成元とヒルベルト級数とランク - 2026/9/14の論文5本

    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/2026-09-14/

    1. Numerical invariants for three-generated ideals
    2. The Eisenbud-Huneke-Ulrich conjecture and bounds on minimal generators
    3. On the Hilbert Series and Multiplicity of Generalized Binomial Edge Ideals
    4. Border rank lower bounds beyond weak border apolarity
    5. Descent, Seminormalization, and Conductors of Sparse Profile Images
    9 min
  • 局所コホモロジーとグレブナー基底と多項式GCD - 2026/9/11の論文6本

    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/2026-09-11/

    1. The transfer of Artinian and Cohen-Macaulay properties under module-finite extensions
    2. Categories of Multigraded Local Cohomology Modules: Serre Filtrations and Nakayama Duality
    3. Associated primes, witnesses, and omega invariants of monomial ideals
    4. Quadratic Gr\"obner bases for cut ideals of cycles and ring graphs
    5. A New Sparse Algorithm for Polynomial GCD over Integers
    6. Openness of local properties in flat families of superschemes
    12 min
  • レフシェッツ特性とヒルベルト係数と多様体 - 2026/9/10の論文10本

    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/2026-09-10/

    1. Lefschetz properties for monomial complete intersections
    2. $F$-depth and $F$-nilpotent rings: generalizations and applications
    3. Stabilization index of V-number of powers of edge ideals of graphs
    4. Keller maps and holonomic $D$-modules
    5. Bounds on Hilbert coefficients of Cohen-Macaulay modules having finite projective dimension
    6. Secant varieties of flag varieties via Schur apolarity
    7. A lattice path model for the volume of the Monge polytope
    8. Reconstruction of Binary Linear Systems and Profile Geometry of Sparse Krylov Strata
    9. Syzygy Transformations of Cluster Characters and Geometric Twists
    10. Unimodality shenanigans in Ehrhart theory
    18 min
  • 多項式とべき乗と次数と次元の解析 - 2026/9/9の論文19本

    arXiv math.ACの新着論文19本をご紹介します。

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

    1. Weak Polynomial Completeness Does Not Imply Almost Polynomial Completeness
    2. Comparisons between ordinary and symbolic powers of edge ideals with respect to regularity and depth
    3. Pairings on the algebra of Laurent series over a ring
    4. On the Matlis Reflexive Modules
    5. Ranks of Verdier quotients of derived categories over local rings
    6. A Solution to Iima--Yoshino Problem 2.3
    7. Frobenius dilation of Hilbert function, Demailly's conjecture, and varieties of powers
    8. Regularity of symbolic powers of complementary edge ideals
    9. On the relations among algebraic models for the MinRank problem
    10. A Counterexample to the Huneke-Wiegand Conjecture
    11. Two Infinite Families of Regular Sequences of Power Sums in Three Variables
    12. Sparse Polynomial GCD Algorithms Asymptotically Linear in All Fundamental Parameters
    13. An Affine Semigroup from Orbifold Boundary Conditions: cut, phylogenetic and hierarchical models in the unit-weight sector, and weighted configurations beyond them
    14. Thick subcategories over weakly symmetric algebras with radical cube zero
    15. Demailly's Conjecture in Quantum Language and Its Solution
    16. Filtered deformations of three-variable polynomial algebras
    17. Quasi-projective dimension and Gorenstein projective dimension
    18. A Note on Binary Quadratic Systems and their relation to complexity theory
    19. $F$-nilpotence and Hodge filtrations beyond isolated singularities
    33 min

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