Constantes de Seshadri du diviseur anticanonique des surfaces de del Pezzo

Details Constantes de Seshadri du diviseur anticanonique des surfaces de del Pezzo Constantes de Seshadri du diviseur anticanonique des surfaces de del Pezzo

2006-01-10

arxiv.org/abs/math/0601225v1

Mathematics

Algebraic Geometry

6 pages, in french

Scientific paper

We compute in this note the Seshadri constants of the anticanonical bundle at
every point of Del Pezzo surfaces. During the proof, we enlight the role of
rational curves in our computations. We present then two exemples where the
positivity of the anticanonical bundle cannot be detected using rational
curves.

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