A dimension formula of closed affine Deligne-Lusztig varieties of parahoric level

Fuente: arXiv
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Autore principale: Sadhukhan, Arghya
Natura: Preprint
Pubblicazione: 2024
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author Sadhukhan, Arghya
author_facet Sadhukhan, Arghya
contents We establish a dimension formula for certain union $X^G(μ,b)_J$ of affine Deligne-Lusztig varieties associated to arbitrary parahoric level structures of split reductive groups, under certain genericity hypotheses.
format Preprint
id arxiv_https___arxiv_org_abs_2406_17765
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A dimension formula of closed affine Deligne-Lusztig varieties of parahoric level
Sadhukhan, Arghya
Representation Theory
Algebraic Geometry
Number Theory
20G25 (Primary) 11G25, 20F55 (Secondary)
We establish a dimension formula for certain union $X^G(μ,b)_J$ of affine Deligne-Lusztig varieties associated to arbitrary parahoric level structures of split reductive groups, under certain genericity hypotheses.
title A dimension formula of closed affine Deligne-Lusztig varieties of parahoric level
topic Representation Theory
Algebraic Geometry
Number Theory
20G25 (Primary) 11G25, 20F55 (Secondary)
url https://arxiv.org/abs/2406.17765