Timeline for Varieties cut by quadrics
Current License: CC BY-SA 2.5
6 events
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| Jun 22, 2022 at 7:16 | history | edited | CommunityBot |
replaced http://front.math.ucdavis.edu/ with https://arxiv.org/abs/
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| Jan 12, 2010 at 23:52 | comment | added | Allen Knutson | BTW there's another variant of this question: let M > N be a pair of varieties, and ask that M be cut out be quadratics, and N further cut from M by linear conditions. Again, this occurs for any (M,N) once one Veroneses enough, and occurs for (M = flag manifold, N = Schubert variety) for any line bundle by Frobenius-splitting results of Ramanathan. | |
| Jan 12, 2010 at 20:23 | comment | added | Allen Knutson | And isn't a singular toric variety compatibly split No. A singular TV M is indeed split, but the issue is not splitting M itself, but splitting MxM with the diagonal M being split. If I understood right Sam shows you can't do this for M = F_1, which occurs as a Schubert variety. | |
| Jan 12, 2010 at 20:05 | comment | added | Mariano Suárez-Álvarez | I had never seen Veronese used as a verb. Cute :) | |
| Jan 12, 2010 at 19:59 | comment | added | VA. | That is an embedding by a COMPLETE linear system, right? And isn't a singular toric variety compatibly split (but the ideal may not be generated by quadrics?) | |
| Jan 12, 2010 at 13:23 | history | answered | Allen Knutson | CC BY-SA 2.5 |