Basic Loci of Positive Coxeter Type for GL_n

2024/02/20 by Shimada, Ryosuke · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2402.13216

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.

Cited by

• Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements

Related

• Basic loci of Coxeter type with arbitrary parahoric level
• Basic loci in Shimura varieties of Coxeter type
• Affine Deligne-Lusztig Varieties of Positive Coxeter Type
• Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements
• Stratifications of affine Deligne-Lusztig varieties