Invertible Orbifolds over Finite Fields
Number Theory
2025-11-26 v2 High Energy Physics - Theory
Algebraic Geometry
Abstract
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.
Cite
@article{arxiv.2504.16716,
title = {Invertible Orbifolds over Finite Fields},
author = {Marco Aldi and Andrija Perunicic},
journal= {arXiv preprint arXiv:2504.16716},
year = {2025}
}
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17 pages