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Article: Closure of steinberg fibers and affine deligne-lusztig varietiesx
Title | Closure of steinberg fibers and affine deligne-lusztig varietiesx |
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Authors | |
Issue Date | 2011 |
Citation | International Mathematics Research Notices, 2011, v. 2011, n. 14, p. 3237-3260 How to Cite? |
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]. © 2010 The Author(s). |
Persistent Identifier | http://hdl.handle.net/10722/329227 |
ISSN | 2023 Impact Factor: 0.9 2023 SCImago Journal Rankings: 1.337 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | He, Xuhua | - |
dc.date.accessioned | 2023-08-09T03:31:17Z | - |
dc.date.available | 2023-08-09T03:31:17Z | - |
dc.date.issued | 2011 | - |
dc.identifier.citation | International Mathematics Research Notices, 2011, v. 2011, n. 14, p. 3237-3260 | - |
dc.identifier.issn | 1073-7928 | - |
dc.identifier.uri | http://hdl.handle.net/10722/329227 | - |
dc.description.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]. © 2010 The Author(s). | - |
dc.language | eng | - |
dc.relation.ispartof | International Mathematics Research Notices | - |
dc.title | Closure of steinberg fibers and affine deligne-lusztig varietiesx | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1093/imrn/rnq189 | - |
dc.identifier.scopus | eid_2-s2.0-79960479406 | - |
dc.identifier.volume | 2011 | - |
dc.identifier.issue | 14 | - |
dc.identifier.spage | 3237 | - |
dc.identifier.epage | 3260 | - |
dc.identifier.eissn | 1687-0247 | - |
dc.identifier.isi | WOS:000292839100004 | - |