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Results tagged with ag.algebraic-geometry
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user 22846
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
1
vote
1
answer
853
views
Action of Frobenius on the Étale Cohomology of the variety of Borel subgroups for an arbitra...
Assume $\mathbf{G}$ is a simple adjoint algebraic group over an algebraic closure $\overline{\mathbb{F}_p}$ of the finite field of characteristic $p > 0$ and $u \in \mathbf{G}$ is a unipotent element. …
- 2,902
3
votes
The centralizer of a semisimple element which is not contained in any proper parabolic subgr...
What you want is a specific part of something that fits into a wider framework due to Borel--Tits. Specifically, you're looking for Theorem 4.15 and Corollary 4.16 of "Groupes réductifs", Inst. Hautes …
- 2,902
3
votes
Accepted
Regular embeddings of reductive groups
I had cause to think about this exercise recently so I thought I’d write an answer. I think Jim’s answer is sufficient but as you seem to want more details I’ll provide them here. I am aware that you …
- 2,902
1
vote
1
answer
570
views
Decomposing Semisimple Perverse Sheaves
So I asked this on maths SE because I don't truly consider it to be a research level question. This question mostly arises out of my completely limited understanding of perverse sheaves. However I do …
- 2,902
45
votes
Accepted
learning Deligne-Lusztig theory
You have given no indication as to your background, so the following imagines you don’t know anything. I have purposely left interesting things out as this is designed to get you from 0 to DL theory. …
- 2,902