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Pré-Publication, Document De Travail Année : 2020

The (ir)regularity of Tor and Ext

Dipankar Ghosh
  • Fonction : Auteur
Navid Nemati
  • Fonction : Auteur
  • PersonId : 771305
  • IdRef : 176493476

Résumé

We investigate the asymptotic behaviour of Castelnuovo-Mumford regularity of Ext and Tor, with respect to the homological degree, over complete intersection rings. We derive from a theorem of Gulliksen a linearity result for the regularity of Ext modules in high homological degrees. We show a similar result for Tor, under the additional hypothesis that high enough Tor modules are supported in dimension at most one; we then provide examples showing that the behaviour could be pretty hectic when the latter condition is not satisfied.

Dates et versions

hal-03004765 , version 1 (13-11-2020)

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Marc Chardin, Dipankar Ghosh, Navid Nemati. The (ir)regularity of Tor and Ext. 2020. ⟨hal-03004765⟩
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