On the Castelnuovo-Mumford regularity of ideals, in dimension 2 - Université Pierre et Marie Curie Accéder directement au contenu
Article Dans Une Revue Comptes Rendus. Mathématique Année : 2005

On the Castelnuovo-Mumford regularity of ideals, in dimension 2

Marc Chardin
Amadou Lamine Fall
  • Fonction : Auteur

Résumé

We give a bound on the Castelnuovo-Mumford regularity of a homogeneous ideals I, in a polynomial ring A, in terms of number of variables and the degrees of generators, when the dimension of A/I is at most two. This bound improves the one obtained by Caviglia and Sbarra in this case. In the continuation of the examples constructed by Clare D'Cruz and the first author, we use families of monomial curves to construct homogeneous ideals showing that these bounds are quite sharp.

Dates et versions

hal-00137117 , version 1 (16-03-2007)

Identifiants

Citer

Marc Chardin, Amadou Lamine Fall. On the Castelnuovo-Mumford regularity of ideals, in dimension 2. Comptes Rendus. Mathématique, 2005, 341, pp.233-238. ⟨hal-00137117⟩
60 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More