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Moscow Mathematical Journal

Volume 13, Issue 1, January–March 2013  pp. 33–56.

Hodge Theory and Lagrangian Planes on Generalized Kummer Fourfolds

Authors:  Brendan Hassett (1) and Yuri Tschinkel (2)
Author institution: (1) Department of Mathematics--MS136, Rice University, 6100 S. Main St., Houston TX 77251-1892
(2) Courant Institute, NYU, 251 Mercer str., New York, NY 10012, USA

Summary: 

We analyze the intersection properties of projective planes embedded in generalized Kummer fourfolds, with a view toward classifying the homology classes represented by these submanifolds.

2010 Mathematics Subject Classification. 14C34, 14J32.


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