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 › peer-review

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)

Access to Document

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

Cite this

@article{bc5dcadfcea8463089c70ad0fda16285,

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",

doi = "10.17323/1609-4514-2013-13-1-33-56",

language = "English (US)",

volume = "13",

pages = "33--56",

journal = "Moscow Mathematical Journal",

issn = "1609-3321",

publisher = "Independent University of Moscow",

number = "1",

}

TY - JOUR

T1 - Hodge theory and Lagrangian planes on generalized Kummer fourfolds

AU - Brendan, Hassett

AU - Tschinkel, Yuri

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

KW - Beauville-bogomolov form

KW - Holomorphic symplectic varieties

KW - Lagrangian planes

UR - http://www.scopus.com/inward/record.url?scp=84873682273&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84873682273&partnerID=8YFLogxK

U2 - 10.17323/1609-4514-2013-13-1-33-56

DO - 10.17323/1609-4514-2013-13-1-33-56

M3 - Article

AN - SCOPUS:84873682273

VL - 13

SP - 33

EP - 56

JO - Moscow Mathematical Journal

JF - Moscow Mathematical Journal

SN - 1609-3321

IS - 1

ER -

Hodge theory and Lagrangian planes on generalized Kummer fourfolds

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this