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Publication Date:
October 2010
ISSN:
1435-5345
DOI:
10.1515/crelle.2010.089

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Journal für die reine und angewandte Mathematik

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Hyper-Kähler fourfolds and Grassmann geometry

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1École Normale Supérieure, Département de Mathématiques et Applications, CNRS UMR 8553, 45 rue d'Ulm, 75230 Paris cedex 05, France. e-mail: odebarre@dma.ens.fr

2IHÉS and Institut de Mathématiques de Jussieu, 175 rue du Chevaleret, 75013 Paris, France. e-mail: voisin@math.jussieu.fr

Citation Information: Journal für die reine und angewandte Mathematik (Crelles Journal). Volume 2010, Issue 649, Pages 63–87, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: 10.1515/crelle.2010.089, October 2010

Publication History:
Received:
2009-04-26
Revised:
2010-01-07
Published Online:
2010-10-19

Abstract

We construct a new 20-dimensional family of projective hyper-Kähler fourfolds and prove that they are deformation-equivalent to the second punctual Hilbert scheme of a K3 surface of genus 12.

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