A dimension formula of closed affine Deligne-Lusztig varieties of parahoric level
Abstract
We establish a dimension formula for certain union $X^G(\mu,b)_J$ of affine Deligne-Lusztig varieties associated to arbitrary parahoric level structures of split reductive groups, under certain genericity hypotheses.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2024
- DOI:
- 10.48550/arXiv.2406.17765
- arXiv:
- arXiv:2406.17765
- Bibcode:
- 2024arXiv240617765S
- Keywords:
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- Mathematics - Representation Theory;
- Mathematics - Algebraic Geometry;
- Mathematics - Number Theory;
- 20G25 (Primary) 11G25;
- 20F55 (Secondary)
- E-Print:
- Preliminary version, comments welcome