Galois covers of Calabi-Yau manifolds

Fuente: arXiv
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Main Author: Verni, Matteo
Format: Preprint
Published: 2025
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author Verni, Matteo
author_facet Verni, Matteo
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2507_14359
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Galois covers of Calabi-Yau manifolds
Verni, Matteo
Algebraic Geometry
14E05, 14E20, 14J42
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.
title Galois covers of Calabi-Yau manifolds
topic Algebraic Geometry
14E05, 14E20, 14J42
url https://arxiv.org/abs/2507.14359