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arXiv · 2504.16716

Invertible Calabi-Yau Orbifolds over Finite Fields

Marco Aldi·Andrija Perunicic
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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.

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Marco Aldi, Andrija Perunicic. 2025-04-23. Invertible Calabi-Yau Orbifolds over Finite Fields. https://arxiv.org/abs/2504.16716

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