Hasse-Witt invariants of Calabi-Yau varieties
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866918501448417280 |
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| author | Cao, Jin Elmi, Mohamed Movasati, Hossein |
| author_facet | Cao, Jin Elmi, Mohamed Movasati, Hossein |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_03055 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Hasse-Witt invariants of Calabi-Yau varieties Cao, Jin Elmi, Mohamed Movasati, Hossein Algebraic Geometry Mathematical Physics Number Theory 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. |
| title | Hasse-Witt invariants of Calabi-Yau varieties |
| topic | Algebraic Geometry Mathematical Physics Number Theory |
| url | https://arxiv.org/abs/2603.03055 |