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arXiv · 1002.5011

Remarks on the Lefschetz standard conjecture and hyperkähler varieties

François Charles
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Abstract

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 hyperkähler, we show that the existence of nontrivial deformations of stable hyperholomorphic bundles implies the Lefschetz standard conjecture in codimension 2.

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François Charles. 2010-07-06. Remarks on the Lefschetz standard conjecture and hyperkähler varieties. https://arxiv.org/abs/1002.5011

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