Timeline for Homotopy invariance of $\ell$-adic cohomology
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| May 11, 2022 at 20:08 | comment | added | Will Sawin | @MikhailBondarko Sure! Interestingly I looked to see which is used in the document linked in the question and as far as I can see it does not specify. | |
| May 11, 2022 at 20:07 | history | edited | Will Sawin | CC BY-SA 4.0 |
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| May 11, 2022 at 19:37 | comment | added | Mikhail Bondarko | It would probably be better to consider $\mathbb{Z}_l$-linear (co?)homology in your answer. I believe that your arguments work in this setting without difficulty, whereas $\mathbb{Z}_l$-cohomology contains more information than $\mathbb{Q}_l$-one and it factors through motives with integer coefficients as well. | |
| May 10, 2022 at 13:24 | vote | accept | Gabriel | ||
| May 9, 2022 at 15:48 | comment | added | Gabriel | Dear @WillSawin, the Lemma 7.6.7 of Lei Fu's book needs $g$ to be an open immersion, but the Theorem 7.6.9 works in the needed generality. Thank you for your answer :) | |
| May 9, 2022 at 13:42 | history | edited | Will Sawin | CC BY-SA 4.0 |
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| May 9, 2022 at 12:36 | history | answered | Will Sawin | CC BY-SA 4.0 |