Timeline for springer resolution over $\wedge^3 \mathbb{C}^6$
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 5, 2012 at 12:59 | vote | accept | IMeasy | ||
| Oct 5, 2012 at 10:55 | answer | added | Sasha | timeline score: 3 | |
| Oct 5, 2012 at 3:26 | answer | added | George Melvin | timeline score: 1 | |
| Oct 4, 2012 at 18:09 | comment | added | IMeasy | This resolution should involve some - I guess - flag variety over the 14 dimensional orbit. | |
| Oct 4, 2012 at 18:08 | comment | added | IMeasy | well in fact I guess that the the 4 orbits I have pointed out are nilpotent orbits. in fact the 9 dim is the G(3,6) - a representative for this orbit is $e_1\wedge e_2 \wedge e_3$ -, the 14 dim is the orbit of $e_1\wedge e_2 \wedge e_3 + e_1\wedge e_4 \wedge e_5$ and it is the singular locus of the 18-dim orbit, which is a quartic hypersurface - I don't know the shape of the elements of this orbit. The 19 dimensional is all $P^19$ and the elements are of type $e_1\wedge e_2 \wedge e_3 + e_4\wedge e_5 \wedge e_6$. I would like to understand the Springer resolution of the quartic. | |
| Oct 4, 2012 at 16:44 | comment | added | George Melvin | Perhaps you could clarify what is meant by 'Springer resolution' in this scenario? To me the Springer resolution is a resolution of singularities of the nilpotent cone of a simple Lie algebra - I'm interested in how this is related to the setup given. | |
| Oct 4, 2012 at 14:23 | history | edited | IMeasy | CC BY-SA 3.0 |
added 8 characters in body
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| Oct 4, 2012 at 14:14 | history | asked | IMeasy | CC BY-SA 3.0 |