Lower bounds for Seshadri constants via successive minima of line bundles
Résumé
Given a nef and big line bundle L on a projective variety of dimension d ≥ 2, we prove that the Seshadri constant of L at a very general point is larger than (d + 1)^{1/d −1}. This slightly improves the lower bound 1/d established by Ein, Küchle and Lazarsfeld. The proof relies on the concept of successive minima for line bundles recently introduced by Ambro and Ito.
Domaines
Géométrie algébrique [math.AG]Origine | Fichiers produits par l'(les) auteur(s) |
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