Remarks on the Lefschetz standard conjecture for hyperkahler varieties
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Seminar
Francois Charles (ENS Paris) -Seminar Algebraische Geometrie (SAG) -
| What |
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| When |
May 06, 2010 from 10:30 am to 11:30 am |
| Where | Hörsaal MPI Bonn (Vivatsgasse 7) |
| Contact Name | sachinid |
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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 hyperkaehler, we give explicit criteria which imply the conjecture, using Verbitsky's theory of deformations of hyperholomorphic bundles.
