Hyper-Kähler fourfolds fibered by elliptic products

Ljudmila Kamenova

Hyper-Kähler fourfolds fibered by elliptic products

Ljudmila Kamenova

Mathematics

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

Abstract

Every fibration of a projective hyper-Kähler fourfold has fibers which are Abelian surfaces. In case the Abelian surface is a Jacobian of a genus two curve, these have been classified by Markushevich. We study those cases where the Abelian surface is a product of two elliptic curves, under some mild genericity hypotheses.

Original language	English
Article number	18
Journal	Epijournal de Geometrie Algebrique
Volume	2
State	Published - 2018

Keywords

Hilbert schemes
Hyperkähler manifolds
K3 surfaces
Lagrangian fibrations

Cite this

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title = "Hyper-K{\"a}hler fourfolds fibered by elliptic products",

abstract = "Every fibration of a projective hyper-K{\"a}hler fourfold has fibers which are Abelian surfaces. In case the Abelian surface is a Jacobian of a genus two curve, these have been classified by Markushevich. We study those cases where the Abelian surface is a product of two elliptic curves, under some mild genericity hypotheses.",

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AU - Kamenova, Ljudmila

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AB - Every fibration of a projective hyper-Kähler fourfold has fibers which are Abelian surfaces. In case the Abelian surface is a Jacobian of a genus two curve, these have been classified by Markushevich. We study those cases where the Abelian surface is a product of two elliptic curves, under some mild genericity hypotheses.

KW - Hilbert schemes

KW - Hyperkähler manifolds

KW - K3 surfaces

KW - Lagrangian fibrations

UR - https://www.scopus.com/pages/publications/85069580111

M3 - Article

AN - SCOPUS:85069580111

SN - 2491-6765

VL - 2

JO - Epijournal de Geometrie Algebrique

JF - Epijournal de Geometrie Algebrique

M1 - 18

ER -

Hyper-Kähler fourfolds fibered by elliptic products

Abstract

Keywords

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