Abelian varieties with real multiplication: classification and isogeny classes over finite fields
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866916668641378304 |
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| author | Bhatnagar, Tejasi Fu, Yu |
| author_facet | Bhatnagar, Tejasi Fu, Yu |
| contents | In this paper, we provide a classification of certain points on Hilbert modular varieties over finite fields under a mild assumption on Newton polygon. Furthermore, we use this characterization to prove estimates for the size of isogeny classes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_11105 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Abelian varieties with real multiplication: classification and isogeny classes over finite fields Bhatnagar, Tejasi Fu, Yu Number Theory Algebraic Geometry In this paper, we provide a classification of certain points on Hilbert modular varieties over finite fields under a mild assumption on Newton polygon. Furthermore, we use this characterization to prove estimates for the size of isogeny classes. |
| title | Abelian varieties with real multiplication: classification and isogeny classes over finite fields |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2308.11105 |