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Article Dans Une Revue Journal of Commutative Algebra Année : 2013

The eventual stability of depth, associated primes and cohomology of a graded module

Résumé

The asymptotic stability of several homological invariants of the graded pieces of a graded module has attracted quite a lot of attention over the last decades. We provide in this text several stability results together with estimates of the degree from which it stabilizes. Before we establish these regularity results, we prove several facts about depth and cohomological dimension with respect to a finitely generated ideal and about Castelnuovo-Mumford regularity of a graded module.
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Dates et versions

hal-01316612 , version 1 (17-05-2016)

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Marc Chardin, Jean-Pierre Jouanolou, Ahad Rahimi. The eventual stability of depth, associated primes and cohomology of a graded module. Journal of Commutative Algebra, 2013, 5 (1), pp.63-92. ⟨10.1216/JCA-2013-5-1-63⟩. ⟨hal-01316612⟩
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