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Ljudmila Kamenova - Hyper-Kähler Fourfolds Fibered by Elliptic Products
epiga:3983 - Épijournal de Géométrie Algébrique, September 21, 2018, Volume 2 - https://doi.org/10.46298/epiga.2018.volume2.3983Hyper-Kähler Fourfolds Fibered by Elliptic ProductsArticle
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.
Comment: 8 pages, EPIGA published version
Source: arXiv.org:1208.3778
Volume: Volume 2
Published on: September 21, 2018
Accepted on: September 14, 2018
Submitted on: October 10, 2017
Keywords: Mathematics - Algebraic Geometry, Mathematics - Differential Geometry, 14D06, 14E05, 53C26
Funding:
- Source : OpenAIRE Graph
- Basic Research in Mathematics; Funder: National Science Foundation; Code: 0111298
- Classification of Albeian fibered hyper-Kahler fourfolds; Funder: National Science Foundation; Code: 0805594
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