Théorèmes d'annulation et groupes de Picard

Journal of Singularities
volume 1 (2010), 13-38

Received 9 September 2009. Received in revised form 17 December 2009.

DOI: 10.5427/jsing.2010.1b

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Abstract:

In this paper we give Lefschetz type theorems for Picard groups of quasi-projective varieties. In particular we prove a generalization of the Kodaira vanishing theorem that we understand as a Lefschetz theorem for the structural sheaf.

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