Geodesic
Hyper-Kähler Fourfolds Fibered by Elliptic Products
Épijournal de Géométrie Algébrique, Tome 2 (2018)

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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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     author = {Kamenova, Ljudmila},
     title = {Hyper-K\"ahler {Fourfolds} {Fibered} by {Elliptic} {Products}},
     journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
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Kamenova, Ljudmila. Hyper-Kähler Fourfolds Fibered by Elliptic Products. Épijournal de Géométrie Algébrique, Tome 2 (2018). doi: 10.46298/epiga.2018.volume2.3983

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