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arXiv · 2603.03055

Hasse-Witt invariants of Calabi-Yau varieties

Jin Cao·Mohamed Elmi·Hossein Movasati
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Abstract

We define the Hasse-Witt invariant of Calabi-Yau varieties in two different ways. The first method is through Cartier operator and the second method is through the theory of Calabi-Yau modular forms developed by the third author. We conjecture that these two definitions are equivalent and provide many examples of Calabi-Yau varieties in support of this conjecture.

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Jin Cao, Mohamed Elmi, Hossein Movasati. 2026-03-03. Hasse-Witt invariants of Calabi-Yau varieties. https://arxiv.org/abs/2603.03055

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