Hodge theory and Lagrangian planes on generalized Kummer fourfolds

Hassett Brendan, Yuri Tschinkel

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)33-56
Number of pages24
JournalMoscow Mathematical Journal
Volume13
Issue number1
StatePublished - Jan 2013

Fingerprint

Hodge Theory
Projective plane
Submanifolds
Homology
Intersection
Class

Keywords

  • Beauville-bogomolov form
  • Holomorphic symplectic varieties
  • Lagrangian planes

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Hodge theory and Lagrangian planes on generalized Kummer fourfolds. / Brendan, Hassett; Tschinkel, Yuri.

In: Moscow Mathematical Journal, Vol. 13, No. 1, 01.2013, p. 33-56.

Research output: Contribution to journalArticle

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