%0 Journal Article
%T Remarks on the Lefschetz standard conjecture and hyperk£¿hler varieties
%A Fran£¿ois Charles
%J Mathematics
%D 2010
%I arXiv
%X We study the Lefschetz standard conjecture on a smooth complex projective variety X. In degree 2, we reduce it to a local statement concerning deformations of vector bundles on X. When X is hyperk\"ahler, we show that the existence of nontrivial deformations of stable hyperholomorphic bundles implies the Lefschetz standard conjecture in codimension 2.
%U http://arxiv.org/abs/1002.5011v3