Timeline for Why should an abelian variety with few places of bad reduction and a lot of endomorphisms not have many points?
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| Nov 7, 2020 at 17:09 | comment | added | Riccardo Pengo | I don't know about the cardinality of torsion, but the rank of the group of $K$-rational points of an abelian variety is bounded above in terms of the primes of bad reduction, and other quantities depending on $\mathrm{dim}(A)$, $\Delta_K$ and $[K \colon \mathbb{Q}]$. This is proved by Ooe and Top here: math.rug.nl/~top/Ooe.pdf | |
| Oct 11, 2020 at 22:29 | history | asked | Asvin | CC BY-SA 4.0 |