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2 votes
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Are parabolic Springer fibers equal dimensional?

Let $G$ be a simple algrbraic group ( of type BCDEFG ) over the complex number $\mathbb{C}$, let $P$ be a parabolic subgroup of $G$, suppose we have a resolution of singularities $\mu: T^*(G/P)\to \...
fool rabbit's user avatar
2 votes
0 answers
150 views

Projection of conormal bundle of Schubert variety under Springer resolution

Let $G=\mathrm{GL}_n(\mathbb{C})$ and $X_{\omega}=\overline{B_-wB/B}\subset G/B$ be a Schubert variety. Denote by $C(X_\omega)$ the conormal variety inside $T^*(G/B)$ , $\mu:T^*(G/B)\to \mathcal{N}$ ...
Ben's user avatar
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1 vote
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146 views

Factoriality of schubert cells in affine flag variety

Take for simplicity $G=SL_n$ and consider the affine flag variety $Fl=G(\mathbb{C}((t)))/I$ for $I$ the Iwahori corresponding to the Borel of upper triangular matrices of determinant one. For each $...
prochet's user avatar
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