Kamenova, Ljudmila - Hyper-Kähler Fourfolds Fibered by Elliptic Products

epiga:3983 - Épijournal de Géométrie Algébrique, September 21, 2018, Volume 2
Hyper-Kähler Fourfolds Fibered by Elliptic Products

Authors: Kamenova, Ljudmila

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.


Source : oai:arXiv.org:1208.3778
Volume: Volume 2
Published on: September 21, 2018
Submitted on: October 10, 2017
Keywords: Mathematics - Algebraic Geometry,Mathematics - Differential Geometry,14D06, 14E05, 53C26


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