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On fibrations and measures of irrationality of hyper-Khäler manifolds
Volume 64, no. 1
(2022),
pp. 165–197
https://doi.org/10.33044/revuma.3319
Abstract
We prove some results on the fibers and images of rational maps from a
hyper-Kähler manifold. We study in particular the minimal genus of
fibers of a fibration into curves. The last section of this paper is
devoted to the study of the rational map defined by a linear system on a
hyper-Kähler fourfold satisfying numerical conditions similar to those
considered by O'Grady in his study of fourfolds numerically equivalent to
$\mathrm{K}3^{[2]}$. We extend his results to this more general context.
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Published by the Unión Matemática Argentina |
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