Hodge theory and Lagrangian planes on generalized Kummer fourfolds

Hassett Brendan; Yuri Tschinkel

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

Hodge theory and Lagrangian planes on generalized Kummer fourfolds

Hassett Brendan, Yuri Tschinkel

Mathematics

Research output: Contribution to journal › Article

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.

Original language	English (US)
Pages (from-to)	33-56
Number of pages	24
Journal	Moscow Mathematical Journal
Volume	13
Issue number	1
DOIs	https://doi.org/10.17323/1609-4514-2013-13-1-33-56
State	Published - 2013

Keywords

Beauville-bogomolov form
Holomorphic symplectic varieties
Lagrangian planes

ASJC Scopus subject areas

Mathematics(all)

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title = "Hodge theory and Lagrangian planes on generalized Kummer fourfolds",

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.",

keywords = "Beauville-bogomolov form, Holomorphic symplectic varieties, Lagrangian planes",

author = "Hassett Brendan and Yuri Tschinkel",

year = "2013",

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