Timeline for Example of abelian variety over finite field which doesn't lift
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Sep 14, 2023 at 3:18 | comment | added | Ariyan Javanpeykar | @DanielLoughran Oort doesn't construct examples of finite fields, only over some fields of char $p>0$. This is also what anon writes. | |
| Sep 13, 2023 at 20:35 | comment | added | Daniel Loughran | @anon: Thanks for the comments. I have looked at this paper. I can't find a statement in this paper which addresses my question. Can you please be more precise? Section 12 comes closest, but I can't see any finite fields in this section. | |
| Sep 13, 2023 at 17:16 | comment | added | anon | Oort gives examples of abelian varieties over a field $k$ of characteristic $p$ that don't lift to $W(k)$. Oort, Frans. Lifting algebraic curves, abelian varieties, and their endomorphisms to characteristic zero. Algebraic geometry, Bowdoin, 1985 (Brunswick, Maine, 1985), 165--195, Proc. Sympos. Pure Math., 46, Part 2, Amer. Math. Soc., Providence, RI, 1987. | |
| Sep 12, 2023 at 16:27 | history | asked | Daniel Loughran | CC BY-SA 4.0 |