Timeline for Is there a version of algebraic de Rham cohomology that can be used to calculate torsion classes?
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| Jan 10, 2020 at 7:58 | comment | added | Marc Hoyois | @user1092847 Indeed $p$ is automatically inverted in any $\mathbb A^1$-invariant étale sheaf of spectra on smooth $\mathbb F_p$-schemes. So if you care about $p$-torsion you have to give up either étale descent or $\mathbb A^1$-invariance. | |
| Jan 10, 2020 at 1:28 | comment | added | user1092847 | Thanks, this is a nice observation. However, imposing the requirement of etale descent in char $p$ seems to me be a bad condition, since we already know that etale cohomology with $\mathbb F_p$ coefficients (in some sense the universal theory satsifying etale descent) is poorly behaved, and that the etale site of $\mathbb A^1_{\mathbb F_p}$ is very complicated. | |
| Jan 10, 2020 at 1:04 | history | edited | SashaP | CC BY-SA 4.0 |
added 143 characters in body
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| Jan 9, 2020 at 23:02 | history | answered | SashaP | CC BY-SA 4.0 |