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- Title
Closure of Steinberg Fibers and Affine Deligne–Lusztig Varieties.
- Authors
He, Xuhua
- Abstract
We discuss some connections between the closure of a Steinberg fiber in the wonderful compactification of an adjoint group and the affine Deligne–Lusztig varieties Xw(1) in the affine flag variety. Among other things, we describe the emptiness/nonemptiness pattern of Xw(1) if the translation part of w is quasi-regular. As a by-product, we give a new proof of the explicit description of , first obtained in He [“Unipotent variety in the group compactification.” Advances in Mathematics 203 (2006): 109–31].
- Subjects
ADJOINT differential equations; DIFFERENTIAL equations; FLAG manifolds (Mathematics); ALGEBRAIC varieties; MATHEMATICAL research
- Publication
IMRN: International Mathematics Research Notices, 2011, Vol 2011, Issue 14, p3237
- ISSN
1073-7928
- Publication type
Article