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arXiv · 2507.14359

Galois covers of Calabi-Yau manifolds

Matteo Verni
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Abstract

We study Galois rational maps between smooth projective varieties with trivial canonical bundle, with a particular interest in the case where the codomain is Hyper-Kähler. We obtain results about the birational geometry and the Galois closure of rational maps between Calabi-Yau manifolds. We apply these general results to a number of well-known examples.

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Matteo Verni. 2025-12-05. Galois covers of Calabi-Yau manifolds. https://arxiv.org/abs/2507.14359

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