Timeline for Cohomology vanishing for formal completions of modules?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 1, 2012 at 16:04 | vote | accept | A. Pascal | ||
| Aug 1, 2012 at 9:39 | answer | added | user91132 | timeline score: 3 | |
| Aug 1, 2012 at 8:29 | history | edited | A. Pascal | CC BY-SA 3.0 |
Clarification
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| Aug 1, 2012 at 8:11 | comment | added | A. Pascal | My question is not about $\widehat{M}$ on $Spec(\widehat{A})$, which is a quasi-coherent sheaf on an affine scheme, but about $\widehat{M}$ on the formal scheme whose underlying topological space is $Spec(A/I)$. In particular, $\widehat{M}$ is not an $A/I$-module and so I can't just apply the usual vanishing on an affine scheme. | |
| Jul 31, 2012 at 23:11 | comment | added | Mohan | I think you have unnecessarily complicated the question. The cohomology vanishing is true for any (Noetherian) commutative ring and any module. | |
| Jul 31, 2012 at 22:58 | history | asked | A. Pascal | CC BY-SA 3.0 |