Timeline for Vanishing cohomology of line bundles on the Springer resolution
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Jul 5, 2011 at 3:57 | comment | added | Puraṭci Vinnani | Thanks - I've managed to locate Broer's later paper, and it has a very clean argument using Kodaira vanishing theorem when the weight is dominant; that argument also takes care of the variation that I need. | |
| Jul 5, 2011 at 3:55 | vote | accept | Puraṭci Vinnani | ||
| Jun 1, 2011 at 17:55 | comment | added | Chuck Hague | The paper is in the Birkhauser Progress in Math series, number 123 (Lie Theory and Geometry). It should be available from a university library. Unfortunately I don't think it's available online. Alternatively, you can look at my paper here: arxiv.org/abs/0803.3424 -- in that paper, I give a slightly more general proof than Broer's, but it uses the same proof technique; see section 4.3, in particular theorems 4.14 and 4.15. The case P = B is the one you're interested in. | |
| Jun 1, 2011 at 4:01 | comment | added | Puraṭci Vinnani | Thanks! I need specifically to know that cohomology vanishes for the line bundles on the Springer resolution for dominant weights, as I am trying to prove an analogue of this in slightly different setting. Do you know where I can find a copy of the paper of Broer that you mention? I was unable to find a copy on mathscinet. | |
| May 31, 2011 at 17:01 | history | answered | Chuck Hague | CC BY-SA 3.0 |