Épijournal de Géométrie Algébrique (Sep 2018)

Hyper-K\"ahler Fourfolds Fibered by Elliptic Products

  • Ljudmila Kamenova

DOI
https://doi.org/10.46298/epiga.2018.volume2.3983
Journal volume & issue
Vol. Volume 2

Abstract

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Every fibration of a projective hyper-K\"ahler 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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