Timeline for Schemes over (locally) ringed spaces: working over complex-analytic spaces, rigid-analytic spaces, formal schemes, etc
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Mar 25, 2020 at 3:15 | comment | added | Emily | Great! Thanks for the elaboration! | |
| Mar 23, 2020 at 10:39 | history | edited | Leo Alonso | CC BY-SA 4.0 |
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| Mar 23, 2020 at 10:36 | comment | added | Leo Alonso | For De Rham cohomology on non-adic schemes the reference is Hartshorne's classical paper, I'll edit the answer accordingly. The adic vs non-adic issue arose when we studied infinitesimal properties of maps o formal schemes. In a few words, the adic case is quite similar to the case of schemes but completions along a closed subset provide a different kind of map that does not arise on schemes. | |
| Mar 23, 2020 at 4:04 | comment | added | Emily | Also, your third paragraph sounds very interesting! Are there references in which I could read more about this idea of computing de Rham cohomology of singular schemes by lifting them to smooth formal schemes? | |
| Mar 23, 2020 at 4:01 | comment | added | Emily | Thanks! I really like this example and the "philosophy"/idea behind it ((as I undestand it) that a map of "geometric objects" whose fibres are all schemes "is"/[gives rise to] a relative scheme)! | |
| Mar 23, 2020 at 3:55 | vote | accept | Emily | ||
| Mar 18, 2020 at 11:04 | history | answered | Leo Alonso | CC BY-SA 4.0 |