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Francois Charles (Paris)
Wednesday 03 March 2010, 14:15-15:15
Remarks on the Lefschetz standard conjecture for hyperkahler varieties
- đ¤ Speaker: Francois Charles (Paris)
- đ Date & Time: Wednesday 03 March 2010, 14:15 - 15:15
- đ Venue: MR13, CMS
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Burt Totaro
Abstract
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.
Series This talk is part of the Algebraic Geometry Seminar series.
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