Invertible Orbifolds over Finite Fields

Fuente: arXiv
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Main Authors: Aldi, Marco, Perunicic, Andrija
Format: Preprint
Published: 2025
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author Aldi, Marco
Perunicic, Andrija
author_facet Aldi, Marco
Perunicic, Andrija
contents In the context of Berglund-Huebsch mirror symmetry, we compute the eigenvalues of the Frobenius endomorphism acting on a p-adic version of Borisov's complex. As a result, we conjecture an explicit formula for the number of points of crepant resolutions of invertible Calabi-Yau orbifolds defined over a finite field.
format Preprint
id arxiv_https___arxiv_org_abs_2504_16716
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Invertible Orbifolds over Finite Fields
Aldi, Marco
Perunicic, Andrija
Number Theory
High Energy Physics - Theory
Algebraic Geometry
In the context of Berglund-Huebsch mirror symmetry, we compute the eigenvalues of the Frobenius endomorphism acting on a p-adic version of Borisov's complex. As a result, we conjecture an explicit formula for the number of points of crepant resolutions of invertible Calabi-Yau orbifolds defined over a finite field.
title Invertible Orbifolds over Finite Fields
topic Number Theory
High Energy Physics - Theory
Algebraic Geometry
url https://arxiv.org/abs/2504.16716