Abstract
We construct a new 20-dimensional family of projective six-dimensional irreducible holomorphic symplectic manifolds. The elements of this family are deformation equivalent with the Hilbert scheme of three points on a K3 surface and are constructed as natural double covers of special codimension-three subvarieties of the Grassmannian
Dedicated to Piotr Pragacz on the occasion of his 60th birthday
Funding source: Seoul National University
Award Identifier / Grant number: 0450-20130016
Funding source: Narodowe Centrum Nauki
Award Identifier / Grant number: 2013/08/A/ST1/00312
Award Identifier / Grant number: 2013/10/E/ST1/00688
Funding source: Norges Forskningsråd
Award Identifier / Grant number: 239015
Funding statement: A. Iliev was supported by SNU grant 0450-20130016, G. Kapustka by NCN grant 2013/08/A/ST1/00312, M. Kapustka by NCN grant 2013/10/E/ST1/00688, and K. Ranestad by RCN grant 239015.
Acknowledgements
The authors wish to thank Olivier Debarre, Alexander Kuznetsov and Kieran O’Grady for useful comments, O’Grady in particular for pointing out a proof of Proposition 5.3.
References
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