Unlikely intersection in higher-dimensional formal groups
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866910788367679488 |
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| author | Sarkar, Mabud Ali Shaikh, Absos Ali |
| author_facet | Sarkar, Mabud Ali Shaikh, Absos Ali |
| contents | In this work, we identify a certain family of higher-dimensional formal groups over the ring of $p$-adic integers such that any two formal groups in that class coincide if they share infinitely many torsion points. As a useful application, we provide a sufficient condition for two abelian varieties to be isogenous just by looking at their $p$-power torsion points. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_01759 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Unlikely intersection in higher-dimensional formal groups Sarkar, Mabud Ali Shaikh, Absos Ali Number Theory 11S31, 13J05, 14K02, 14K05 In this work, we identify a certain family of higher-dimensional formal groups over the ring of $p$-adic integers such that any two formal groups in that class coincide if they share infinitely many torsion points. As a useful application, we provide a sufficient condition for two abelian varieties to be isogenous just by looking at their $p$-power torsion points. |
| title | Unlikely intersection in higher-dimensional formal groups |
| topic | Number Theory 11S31, 13J05, 14K02, 14K05 |
| url | https://arxiv.org/abs/2306.01759 |