Timeline for Milnor excision for algebraic stacks
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| May 19, 2022 at 9:09 | history | edited | David Rydh | CC BY-SA 4.0 |
Now available on arXiv. Added link.
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| Aug 30, 2020 at 19:53 | comment | added | Harry Gindi | Yeah, this whole question seems quite tricky. I'm trying to see if I can get it working using locally ringed topoi for higher DM stacks until your paper comes out. Trying to see which pushouts are preserved along the wrong adjoints is very counterintuitive! Anyway, excited to see the paper whenever it comes out! | |
| Aug 30, 2020 at 13:25 | comment | added | David Rydh | Well, the tweaking is probably not so easy after all... | |
| Aug 30, 2020 at 12:56 | comment | added | David Rydh | Milnor excision, as you stated it in the question, holds at least for stacks with quasi-separated diagonal (that is, the double-diagonal is quasi-compact). In particular, it holds for algebraic spaces and algebraic stacks with separated diagonals. I think we can tweak our proof to get it to work in general. | |
| Aug 28, 2020 at 18:16 | comment | added | Harry Gindi | Oh, one minor question: Is the quasiseparated hypothesis known to be necessary, in the sense that there exists a counterexample that doesn't satisfy Milnor excision? If there is a counterexample, it would be interesting to know. Thanks again =). | |
| Aug 28, 2020 at 15:08 | history | edited | David Rydh | CC BY-SA 4.0 |
Added mention of [TT] and related MO question.
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| Aug 28, 2020 at 14:36 | comment | added | Harry Gindi | This is great, thanks! | |
| Aug 28, 2020 at 14:36 | vote | accept | Harry Gindi | ||
| Aug 28, 2020 at 14:04 | history | answered | David Rydh | CC BY-SA 4.0 |