The (ir)regularity of Tor and Ext

DOI10.1090/tran/8429zbMath1478.13027arXiv1905.02375OpenAlexW3155023640MaRDI QIDQ5020664

Navid Nemati, Dipankar Ghosh, Marc Chardin

Publication date: 7 January 2022

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

Full work available at URL: https://arxiv.org/abs/1905.02375

zbMATH Keywords

Torasymptotic behaviorspectral sequencesExtCastelnuovo-Mumford regularitycomplete intersection ringsEisenbud operators

Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)

Uses Software

• Macaulay2

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The eventual stability of depth, associated primes and cohomology of a graded module
• Asymptotic linear bounds of Castelnuovo-Mumford regularity in multigraded modules
• Minimal free resolutions over complete intersections
• Generalized local cohomology and regularity of Ext modules
• An introduction to homological algebra
• Graded Betti numbers of some embedded rational \(n\)-folds
• Powers of ideals. Primary decompositions, Artin-Rees lemma and regularity
• Four counterexamples in combinatorial algebraic geometry
• Castelnuovo-Mumford regularity of products of ideals
• An asymptotic bound for Castelnuovo-Mumford regularity of certain Ext modules over graded complete intersection rings
• A remark on regularity of powers and products of ideals
• The eventual shape of Betti tables of powers of ideals
• On the asymptotic linearity of Castelnuovo-Mumford regularity.
• Cohen-Macaulay residual intersections and their Castelnuovo-Mumford regularity
• On the CastelnuovoMumford regularity of products of ideal sheaves
• Bounds on the Castelnuovo-Mumford regularity of tensor products
• Homological Algebra on a Complete Intersection, with an Application to Group Representations
• A Change of Ring Theorem with Applications to Poincaré Series and Intersection Multiplicity.
• Regularity of the powers of an ideal
• Asymptotic behaviour of Castelnuovo-Mumford regularity
• Castelnuovo-Mumford regularity of Ext modules and homological degree
• The regularity of Tor and graded Betti Numbers

This page was built for publication: The (ir)regularity of Tor and Ext