Timeline for Intuition behind the Kodaira Vanishing Theorem?
Current License: CC BY-SA 3.0
12 events
| when toggle format | what | by | license | comment | |
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| Jul 24, 2015 at 12:30 | history | edited | Qfwfq | CC BY-SA 3.0 |
deleted 5 characters in body
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| Jul 24, 2015 at 7:31 | answer | added | user61522 | timeline score: 11 | |
| Jul 23, 2015 at 21:21 | answer | added | Sándor Kovács | timeline score: 11 | |
| Jul 23, 2015 at 21:09 | answer | added | Donu Arapura | timeline score: 10 | |
| Jul 23, 2015 at 20:55 | comment | added | Jason Starr | I think somebody changed the statement of the question. Before, if memory serves, the question asked for a proof. Now the question asks for intuition. If you are going to change the statement, you should correct that exponent $-1$. | |
| Jul 23, 2015 at 20:22 | comment | added | meh | Perhaps stupidly, for curves the statement is clear. So one could think of it along the lines of what can one generalize from the curve case. RR and vanishing allows one to calculate global sections and hence provides motivation for why one would try and prove such a result. | |
| Jul 23, 2015 at 20:12 | comment | added | Noam D. Elkies | If you want an intuition for a theorem about "$H^q$" of a "line bundle with positive-definite curvature form", you probably need an intuition for what $H^q$ and that condition on $L$ mean. Is there a standard intuitive/heuristic interpretation of these notions? | |
| Jul 23, 2015 at 20:05 | history | edited | user76356 | CC BY-SA 3.0 |
deleted 7 characters in body; edited title
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| Jul 23, 2015 at 18:32 | comment | added | Sándor Kovács | I'm not sure what you are asking. There are many proofs available. I think the easiest way to see that a theorem is true is to read a proof. I personally like Kollár's proof: goo.gl/bzE5Ho | |
| Jul 23, 2015 at 17:43 | comment | added | Jason Starr | There should not be any exponent "$-1$" on the dualizing invertible sheaf. | |
| Jul 23, 2015 at 17:40 | review | First posts | |||
| Jul 23, 2015 at 17:55 | |||||
| Jul 23, 2015 at 17:37 | history | asked | user76356 | CC BY-SA 3.0 |