Timeline for An example of a geometrically simply connected variety with infinite Brauer group (modulo constants)
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 23, 2023 at 13:16 | vote | accept | Victor de Vries | ||
| Nov 22, 2023 at 13:54 | comment | added | Daniel Loughran | Thanks Oli for pointing this out. Nice to see these recent developments in positive characteristic! | |
| Nov 22, 2023 at 13:49 | history | edited | Daniel Loughran | CC BY-SA 4.0 |
deleted 6 characters in body
|
| Nov 22, 2023 at 13:16 | comment | added | Oli Gregory | Note that it is a theorem of Cadoret-Hui-Tamagawa that for $k$ finitely generated over its prime subfield and $\mathrm{char}(k)=p>0$, the Tate conjecture for divisors for all $\ell\neq p$ is equivalent to the finiteness of the prime-to-$p$ part of $\mathrm{Br}(X_{k^{\mathrm{sep}}})^{\mathrm{Gal}(k^{\mathrm{sep}}/k)}$. The independence of $\ell$ in this generality is due to Pal, I believe. The $p$-primary part can be infinite though; see Proposition 5.4 in D'Addezio's "Boundedness of the $p$-primary torsion of the Brauer group of an abelian variety". | |
| Nov 22, 2023 at 10:29 | history | answered | Daniel Loughran | CC BY-SA 4.0 |