Remarks on the Lefschetz standard conjecture for hyperkahler varieties

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• Francois Charles (Paris)
• Wednesday 03 March 2010, 14:15-15:15
• MR13, CMS.

If you have a question about this talk, please contact Burt Totaro.

We study Grothendieck’s Lefschetz standard conjecture on a smooth complex projective variety. In degree 2, we reduce it to a local statement concerning local deformations of vector bundles on X. When X is hyperkahler, we give explicit criteria which imply the conjecture, using Verbitsky’s theory of deformations of hyperholomorphic bundles.

This talk is part of the Algebraic Geometry Seminar series.

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