This article is cited in 34 papers

Hodge theory and Lagrangian planes on generalized Kummer fourfolds

Brendan Hassett^a, Yuri Tschinkel<sup>b

a</sup> Department of Mathematics–MS136, Rice University, 6100 S. Main St., Houston TX 77251-1892
^b Courant Institute, NYU, 251 Mercer str, New York, NY 10012, USA

Abstract: 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.

Key words and phrases: Holomorphic symplectic varieties, Beauville–Bogomolov form, Lagrangian planes.

MSC: 14C34, 14J32

Received: May 5, 2011; in revised form June 12, 2012

Language: English

DOI: 10.17323/1609-4514-2013-13-1-33-56

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