Timeline for springer resolution over $\wedge^3 \mathbb{C}^6$
Current License: CC BY-SA 3.0
4 events
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| Oct 5, 2012 at 16:58 | comment | added | George Melvin | @MBeasy: Of course, I had overlooked this. Thanks for pointing that out and for the reference. However, this means that it is only possible for the 9-dim orbit to be a nilpotent orbit - there are no nilpotent orbits of dimension 15,19 or 20. The 9-dim orbit must correspond to the minimal orbit in this case. I'm still unsure where the Springer reaolution appears in your setup. In any case, it appears that @Sasha has given a complete description of this problem. | |
| Oct 5, 2012 at 9:01 | comment | added | IMeasy | I guess that the discrpancy between your dimension computations and mines is that I take projective dimensions and not linear. the dimension 19 is the full, projetivized, space. The description of this orbits is classical and developed for instance in Donagi's "on the geometry of grassmannians". in that paper though the springer resolution is not developed. | |
| Oct 5, 2012 at 3:49 | history | edited | George Melvin | CC BY-SA 3.0 |
added 50 characters in body
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| Oct 5, 2012 at 3:26 | history | answered | George Melvin | CC BY-SA 3.0 |