Timeline for Calculation in prismatic cohomology
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 22, 2020 at 0:59 | comment | added | Vitay | I'll go back to studying. | |
| Jun 21, 2020 at 23:23 | comment | added | Vitay | Thank you for the answer to the first question. As to the second, for some reason I was thinking of crystalline cohomology. Would $k=\mathbb{Z}_p[[t]]$ work? I don't know how to answer regarding the prism structure. I mean cohomology of the structure sheaf $\mathcal{O}_{\Delta}$. Is there extra information that I have to give? Do I have comparison with crystalline and etale for all the choices of this extra information? I did not notice that while reading the notes. | |
| Jun 21, 2020 at 22:20 | comment | added | R. van Dobben de Bruyn | I'm not sure I understand your concrete question at the end. What is $k$? And what is the prism structure? | |
| Jun 21, 2020 at 22:18 | comment | added | R. van Dobben de Bruyn | The theory seems to be formulated for formal schemes (see e.g. the original paper, Def. 4.1). By formal GAGA, in the proper case you can think about it as varieties, but at least that explains the ubiquity of completions. In §4.3 ("generalities on computing prismatic cohomology") they say some words on the (formal) affine line. | |
| Jun 21, 2020 at 21:07 | history | asked | Vitay | CC BY-SA 4.0 |