LAGRANGIAN FIBRATIONS OF HYPERKÄHLER FOURFOLDS

Daniel Huybrechts; Chenyang Xu

doi:10.1017/S1474748020000365

LAGRANGIAN FIBRATIONS OF HYPERKÄHLER FOURFOLDS

Daniel Huybrechts, Chenyang Xu

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

The base surface of a Lagrangian fibration X → B of a projective, irreducible symplectic fourfold is shown to be isomorphic to ℙ2.

Original language	English (US)
Pages (from-to)	921-932
Number of pages	12
Journal	Journal of the Institute of Mathematics of Jussieu
Volume	21
Issue number	3
DOIs	https://doi.org/10.1017/S1474748020000365
State	Published - May 20 2022
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Lagrangian fibrations
hyperkähler manifolds
irreducible symplectic varieties

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10.1017/S1474748020000365

Cite this

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title = "LAGRANGIAN FIBRATIONS OF HYPERK{\"A}HLER FOURFOLDS",

abstract = "The base surface of a Lagrangian fibration X → B of a projective, irreducible symplectic fourfold is shown to be isomorphic to ℙ2.",

keywords = "Lagrangian fibrations, hyperk{\"a}hler manifolds, irreducible symplectic varieties",

author = "Daniel Huybrechts and Chenyang Xu",

note = "Publisher Copyright: {\textcopyright} ",

year = "2022",

month = may,

day = "20",

doi = "10.1017/S1474748020000365",

language = "English (US)",

volume = "21",

pages = "921--932",

journal = "Journal of the Institute of Mathematics of Jussieu",

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publisher = "Cambridge University Press",

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T1 - LAGRANGIAN FIBRATIONS OF HYPERKÄHLER FOURFOLDS

AU - Huybrechts, Daniel

AU - Xu, Chenyang

N1 - Publisher Copyright: ©

PY - 2022/5/20

Y1 - 2022/5/20

N2 - The base surface of a Lagrangian fibration X → B of a projective, irreducible symplectic fourfold is shown to be isomorphic to ℙ2.

AB - The base surface of a Lagrangian fibration X → B of a projective, irreducible symplectic fourfold is shown to be isomorphic to ℙ2.

KW - Lagrangian fibrations

KW - hyperkähler manifolds

KW - irreducible symplectic varieties

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DO - 10.1017/S1474748020000365

M3 - Article

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JO - Journal of the Institute of Mathematics of Jussieu

JF - Journal of the Institute of Mathematics of Jussieu

IS - 3

ER -

LAGRANGIAN FIBRATIONS OF HYPERKÄHLER FOURFOLDS

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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