A Note on Seshadri constants on general <i>K</i>3 surfaces

Andreas Leopold Knutsen

doi:10.1016/j.crma.2008.09.008

Algebraic Geometry

A Note on Seshadri constants on general K3 surfaces
[Une Note sur les constantes de Seshadri sur surfaces K3 générales]

Présenté par : Jean-Pierre Demailly

Andreas Leopold Knutsen ¹

¹ Department of Mathematics, University of Bergen, Johs. Brunsgt. 12, N-5008 Bergen, Norway

Comptes Rendus. Mathématique, Volume 346 (2008) no. 19-20, pp. 1079-1081.

Résumé
Abstract

Nous démontrons une borne inférieure sur la constante de Seshadri $ε (L)$ sur un surface K3 telle que $Pic S ≃ Z [L]$ . En particulier, nous obténons que $ε (L) = α$ si $L^{2} = α^{2}$ pour un nombre entier α.

We prove a lower bound on the Seshadri constant $ε (L)$ on a K3 surface S with $Pic S ≃ Z [L]$ . In particular, we obtain that $ε (L) = α$ if $L^{2} = α^{2}$ for an integer α.

Reçu le : 2007-03-28
Accepté le : 2008-09-04
Publié le : 2008-09-23

DOI : 10.1016/j.crma.2008.09.008

Affiliations des auteurs :

Andreas Leopold Knutsen ¹

¹ Department of Mathematics, University of Bergen, Johs. Brunsgt. 12, N-5008 Bergen, Norway

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Andreas Leopold Knutsen. A Note on Seshadri constants on general K3 surfaces. Comptes Rendus. Mathématique, Volume 346 (2008) no. 19-20, pp. 1079-1081. doi : 10.1016/j.crma.2008.09.008. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2008.09.008/

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Cité par

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Cité par Sources :

^⁎ Research supported by a Marie Curie Intra-European Fellowship within the 6th European Community Framework Programme and carried out at Università di Roma Tre, Rome, Italy.

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