Timeline for Geometry meaning of higher cohomology of sheaves?
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| S Jan 3, 2014 at 11:39 | history | suggested | KotelKanim | CC BY-SA 3.0 |
replaced ">>" with "\gg" and ">" with "$>$"
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| Jan 3, 2014 at 11:32 | review | Suggested edits | |||
| S Jan 3, 2014 at 11:39 | |||||
| Apr 2, 2013 at 4:24 | vote | accept | Fei YE | ||
| Mar 31, 2013 at 18:07 | answer | added | Sándor Kovács | timeline score: 21 | |
| Jan 12, 2010 at 8:25 | comment | added | Dmitri Panov | For your last question -- this group vanishes if and only if D is not contained scheme theoretically in any hyperplane. If your subvariety reduced you replace "contained scheme theoretically" by just "contained". Is this answer satisfactory for you? | |
| Jan 11, 2010 at 2:13 | comment | added | Fei YE | Clearly any section in $H^0(\mathbb{P}^n, I_D\otimes\mathcal{O}_{\mathbb{P}^n}(1))$ is a section in $H^0(\mathbb{P}^n,mathcal{O}_{\mathbb{P}^n}(1))$, but not an arbitrary section, it is a section of $mathcal{O}_{\mathbb{P}^n}(1))$ which belongs to $I_D$, which means that the section vanishes along $D$. | |
| Jan 10, 2010 at 22:02 | comment | added | user19475 | Can you explain the "Hence" in "Hence $H^0(\mathbb{P}^n, I_D \otimes \mathcal{O}_{\mathbb{P}^n}(1)) = 0$."? | |
| Jan 10, 2010 at 15:29 | answer | added | Georges Elencwajg | timeline score: 11 | |
| Jan 10, 2010 at 11:21 | answer | added | Joel Fine | timeline score: 11 | |
| Jan 10, 2010 at 5:07 | history | edited | Fei YE | CC BY-SA 2.5 |
added 6 characters in body; added 5 characters in body
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| Jan 10, 2010 at 5:01 | history | asked | Fei YE | CC BY-SA 2.5 |