Hasse-Witt invariants of Calabi-Yau varieties
Algebraic Geometry
2026-05-15 v2 Mathematical Physics
math.MP
Number Theory
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.
Keywords
Cite
@article{arxiv.2603.03055,
title = {Hasse-Witt invariants of Calabi-Yau varieties},
author = {Jin Cao and Mohamed Elmi and Hossein Movasati},
journal= {arXiv preprint arXiv:2603.03055},
year = {2026}
}
Comments
Fix some typos