Algebraic Geometry
A Note on Seshadri constants on general K3 surfaces
Comptes Rendus. Mathématique, Volume 346 (2008) no. 19-20, pp. 1079-1081.

We prove a lower bound on the Seshadri constant ε(L) on a K3 surface S with PicSZ[L]. In particular, we obtain that ε(L)=α if L2=α2 for an integer α.

Nous démontrons une borne inférieure sur la constante de Seshadri ε(L) sur un surface K3 telle que PicSZ[L]. En particulier, nous obténons que ε(L)=α si L2=α2 pour un nombre entier α.

Published online:
DOI: 10.1016/j.crma.2008.09.008
Knutsen, Andreas Leopold 1

1 Department of Mathematics, University of Bergen, Johs. Brunsgt. 12, N-5008 Bergen, Norway
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     title = {A {Note} on {Seshadri} constants on general {\protect\emph{K}3} surfaces},
     journal = {Comptes Rendus. Math\'ematique},
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Knutsen, Andreas Leopold. 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.

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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.