On some simple geometric structure of affine Deligne-Lusztig varieties for GL_n

2022/04/22 by Ryosuke Shimada, Shimada, Ryosuke
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research

paper · pdf · doi:10.48550/arxiv.2204.10799

Abstract

In this paper we study the geometric structure of affine Deligne-Lusztig varieties for GL_n and b basic. We introduce a new condition on λ. If this is satisfied, then the corresponding affine Deligne-Lusztig variety is the disjoint union of classical Deligne-Lusztig varieties times finite-dimensional affine spaces.

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