NDLI: Affine Deligne–Lusztig varieties in affine flag varieties

Content Provider	Scilit
Author	Goertz, Ulrich Haines, Thomas J. Kottwitz, Robert E. Reuman, Daniel C.
Copyright Year	2010
Description	Journal: Compositio Mathematica This paper studies affine Deligne–Lusztig varieties in the affine flag manifold of a split group. Among other things, it proves emptiness for certain of these varieties, relates some of them to those for Levi subgroups, and extends previous conjectures concerning their dimensions. We generalize the superset method, an algorithmic approach to the questions of non-emptiness and dimension. Our non-emptiness results apply equally well to the p-adic context and therefore relate to moduli of p-divisible groups and Shimura varieties with Iwahori level structure.
Ending Page	1382
Starting Page	1339
ISSN	00221295
e-ISSN	15705846
DOI	10.1112/s0010437x10004823
Journal	Compositio Mathematica
Issue Number	5
Volume Number	146
Language	English
Publisher	Wiley-Blackwell
Publisher Date	2010-07-07
Access Restriction	Open
Subject Keyword	Journal: Compositio Mathematica Algebraic Geometry Flag Manifold Representation Theory
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory

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Affine Deligne–Lusztig varieties in affine flag varieties