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arXiv:1401.0510 [math.AG]AbstractReferencesReviewsResources

The second Betti number of hyperkähler manifolds

Nikon Kurnosov

Published 2014-01-02, updated 2015-12-18Version 3

Let $M$ be a compact irreducible hyperkahler manifold, from Bogomolov inequality [V1] we obtain forbidden values of the second Betti number $b_2$ in arbitrary dimension. UPD: Unfortunately, decomposition of dual to BBF-form is not right in the main theorem. Instead of this work, take a look on recent preprints of Sawon and me on boundedness of $b_2$ for hyperk\"ahler manifolds.

Comments: 7 pages. Major changes
Categories: math.AG, math.DG
Subjects: 14K22, 53C26
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