Timeline for Cohomology groups interpreted as sheafs
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 8, 2012 at 11:46 | answer | added | Daniel Sommerhoff | timeline score: 0 | |
| Jul 8, 2012 at 11:10 | vote | accept | Steven Gro | ||
| Jul 8, 2012 at 10:22 | answer | added | Filippo Alberto Edoardo | timeline score: 3 | |
| Jul 8, 2012 at 10:10 | comment | added | Steven Gro | Hey Dan, thanks for your answer. To specify my question: The text I am reading is: math.utah.edu/~bertram/courses/hilbert/ps/hilbert.ps On page 6 Bertram is proving the existence of the hilbert scheme and defines a grassmannian $G(P'(d_0),H^0 (\mathbb{P}^{m}_{A}, \mathcal{O}^{n}_{\mathbb{P}^{m}_{A}} (l + d_0)))$. I think that he is using $H^0 (\mathbb{P}^{m}_{A}, \mathcal{O}^{n}_{\mathbb{P}^{m}_{A}} (l + d_0)))$ as a sheaf, otherwise this notation wouldn't fit his definition of the grassmannian from the beginning of the document. Thanks in advance to all of you! | |
| Jul 8, 2012 at 9:22 | comment | added | Dan Petersen | I think this question is too vague to get a good answer; there are several situations where one can think of a cohomology group as a sheaf in some sense. But take a look at Dimca's book "Sheaves in topology" and I bet your question will be answered. | |
| Jul 8, 2012 at 8:57 | history | asked | Steven Gro | CC BY-SA 3.0 |