Year: 2024
Type: preprint
Abstract: Motivated by the problem of giving an explicit description of the basic locus in the reduction of Shimura varieties, Görtz, He and Nie studied the cases where the basic affine Deligne-Lusztig variety, which serves as its group-theoretic model, is a union of classical Deligne-Lusztig varieties associated to Coxeter elements. In this paper, we study a natural generalization of this stratification in the case of $GL_n$.
Source: arXiv (Cornell University)
Author: Shimada, Ryosuke
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4392019720