Timeline for Extension of a type A Springer fibre
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 29 at 4:15 | comment | added | Cheng-Chiang Tsai | (I think this method is in a paper of Tymoczko, though I don't know if that will be the earliest reference.) Though of course, affine paving might not be the same as knowing the irreducible components. | |
| Mar 29 at 4:14 | comment | added | Cheng-Chiang Tsai | One way I know how to combinatorially pave these varieties by affine spaces is as follows: we identify the partial flag variety as $G/P$ where $G=GL_n$ and $P$ is our standard block-wise upper triangular parabolic. We conjugate $N$ into some nice upper triangular form. Then we compute that every $B$-orbit in $G/P$ intersects the wanted closed subvariety ($\mathcal{B}_p^N$ or $\widehat{\mathcal{B}_p^N}$), and hopefully it is affine space of a combinatorially explicit dimension. | |
| Mar 28 at 10:08 | history | edited | Filip | CC BY-SA 4.0 |
edited title
|
| Mar 27 at 22:16 | history | asked | Filip | CC BY-SA 4.0 |