Timeline for Richardson varieties over finite fields
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 24, 2022 at 13:45 | comment | added | Allen Knutson | Check out Appendix A of our arxiv.org/abs/1008.3939 | |
| Aug 21, 2022 at 13:35 | comment | added | fool rabbit | @Allen Knutson Dear Allen, can you give some references about the fact that the projection in this case is an isomorphism? | |
| Oct 22, 2020 at 14:36 | comment | added | Ben Webster♦ | @LSpice I've fixed the link above. | |
| Oct 22, 2020 at 14:34 | history | edited | Ben Webster♦ | CC BY-SA 4.0 |
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| Oct 16, 2020 at 19:32 | comment | added | LSpice | I think that the paper of Marsh and Rietsch is Marsh and Rietsch - Parametrizations of flag varieties. | |
| Mar 19, 2015 at 14:22 | comment | added | Allen Knutson | Indeed it doesn't make a big difference: for each open Richardson in $X^\circ_w \cap X^v_\circ \subseteq G/P$, the open Richardson $X^\circ_w \cap X^v_\circ \subseteq G/B$ maps to it isomorphically, if $w,v \in W^P$ i.e. are minimal coset representatives in $W/W_P$. | |
| Nov 13, 2009 at 5:45 | vote | accept | Steven Sam | ||
| Nov 12, 2009 at 22:31 | comment | added | Hugh Thomas | I second Ben's suggestion. Specifically, you want to look at section 4.4 and section 3. They explain exactly the Coxeter combinatorics which governs the stratification. (They're working over $G/B$ not $G/P$, but I doubt that makes a big difference.) The restrictions that you suggest don't seem to simplify the question enough that it has an obviously easily-statable answer. | |
| Nov 12, 2009 at 15:24 | history | answered | Ben Webster♦ | CC BY-SA 2.5 |