Timeline for Cohomology of singular curves
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 16, 2023 at 20:01 | comment | added | Donu Arapura | Algebraic geometers often reduce results about complex algebraic varieties to the corresponding statements over finite fields. This can be done using ultrapoducts, although there are other techniques which are probably used more often. The Ax-Grothendieck theorem is one rather simple and striking example of this. | |
| Aug 16, 2023 at 14:23 | comment | added | Mikhail Katz | I was unable to follow Bhatt-Mathew, but was wondering whether there is a basic case where the use of ultraproducts in AG occurs, that one could understand without mastering all the high-level terminology... | |
| Aug 15, 2023 at 20:10 | comment | added | Donu Arapura | Hi Misha (it's been a while). Are you are asking me to comment on the Bhatt-Mathew paper -- I'm afraid I haven't really looked at it -- or the assertion that ultraproducts appear "frequently" in AG? Concerning the latter I would probably suggest only "occasionally". | |
| Aug 15, 2023 at 16:15 | comment | added | Mikhail Katz | Hi Donu, could you possibly comment on this? mathoverflow.net/questions/452509/… | |
| Jul 24, 2023 at 16:07 | comment | added | Donu Arapura | Yes, $W_0$ is Hodge structure of weight $0$ | |
| Jul 23, 2023 at 17:15 | comment | added | user505967 | Thank you! This is very helpful. (Yes, I wanted to understand the machinery on the simplest nontrivial case) Is $W_0$ a pure Hodge structure of weight zero, since it is dual to the span of finitely many loops? | |
| Jul 23, 2023 at 17:13 | vote | accept | CommunityBot | ||
| Jul 23, 2023 at 15:46 | history | answered | Donu Arapura | CC BY-SA 4.0 |