Regularity stabilization for the powers of graded $\operatorname {\frak {M}}$-primary ideals

DOI10.1090/proc/12414zbMath1318.13019arXiv1310.4727OpenAlexW2591852944MaRDI QIDQ5255242

Marc Chardin

Publication date: 12 June 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.4727

zbMATH Keywords

Castelnuovo-Mumford regularitypowers of idealsRees ring

Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02) Local cohomology and commutative rings (13D45) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (8)

Maximal generating degrees of powers of homogeneous ideals ⋮ Asymptotic behavior of integer programming and the stability of the Castelnuovo-Mumford regularity ⋮ Castelnuovo–Mumford Regularity and Powers ⋮ Maximal generating degrees of integral closures of powers of monomial ideals ⋮ On bigraded regularities of Rees algebra ⋮ Fiber invariants of projective morphisms and regularity of powers of ideals ⋮ Regularity of powers of cover ideals of unimodular hypergraphs ⋮ Geometric regularity of powers of two-dimensional squarefree monomial ideals

Cites Work

• The eventual stability of depth, associated primes and cohomology of a graded module
• Powers of ideals and the cohomology of stalks and fibers of morphisms
• Regularity defect stabilization of powers of an ideal
• Powers of complete intersections: Graded Betti numbers and applications
• Asymptotic behaviour of Castelnuovo-Mumford regularity
• Powers of Ideals: Betti Numbers, Cohomology and Regularity
• Notes on regularity stabilization

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