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Journal für die reine und angewandte Mathematik

Managing Editor: Weissauer, Rainer

Ed. by Colding, Tobias / Cuntz, Joachim / Huybrechts, Daniel / Hwang, Jun-Muk

12 Issues per year

IMPACT FACTOR increased in 2014: 1.432
Rank 22 out of 310 in category Mathematics in the 2014 Thomson Reuters Journal Citation Report/Science Edition

SCImago Journal Rank (SJR) 2014: 3.585
Source Normalized Impact per Paper (SNIP) 2014: 1.745
Impact per Publication (IPP) 2014: 1.262

Mathematical Citation Quotient (MCQ) 2014: 1.27



Hyper-Kähler fourfolds and Grassmann geometry

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

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

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

Published Online:


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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Kieran G. O’Grady
Manuscripta Mathematica, 2012, Volume 138, Number 1-2, Page 221

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