Size of isogeny classes of abelian varieties of Lubin-Tate type
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912488802484224 |
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| author | Bhatnagar, Tejasi |
| author_facet | Bhatnagar, Tejasi |
| contents | We prove a lower bound for the size of the isogeny class of a simple abelian variety over a finite field with commutative endomorphism ring in the Lubin-Tate case. Moreover, based on the expected size of the isogeny classes in the Newton stratum, we conjecture that this lower bound is sharp. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_02758 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Size of isogeny classes of abelian varieties of Lubin-Tate type Bhatnagar, Tejasi Number Theory Algebraic Geometry We prove a lower bound for the size of the isogeny class of a simple abelian variety over a finite field with commutative endomorphism ring in the Lubin-Tate case. Moreover, based on the expected size of the isogeny classes in the Newton stratum, we conjecture that this lower bound is sharp. |
| title | Size of isogeny classes of abelian varieties of Lubin-Tate type |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2405.02758 |