Ryosuke Shimada

activity

20212024

collaborators

5 papers

math.AG2024

Basic Loci of Positive Coxeter Type for $G L_{n}$

Ryosuke Shimada

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 Deli…

math.AG2023

Affine Deligne-Lusztig Varieties of Positive Coxeter Type

Felix Schremmer, Ryosuke Shimada, Qingchao Yu

We introduce a class of affine Deligne--Lusztig varieties that we call of positive Coxeter type. We show that the affine Deligne--Lusztig varieties of positive Coxeter type have a…

math.AG2022

Semi-Modules and Crystal Bases via Affine Deligne-Lusztig Varieties

Ryosuke Shimada

There are two combinatorial ways of parameterizing the $J_{b}$ -orbits of the irreducible components of affine Deligne-Lusztig varieties for $G L_{n}$ and superbasic $b$ . One way is to u…

math.AG2022

On some simple geometric structure of affine Deligne-Lusztig varieties for $G L_{n}$

Ryosuke Shimada

In this paper we study the geometric structure of affine Deligne-Lusztig varieties for $G L_{n}$ and $b$ basic. We introduce a new condition on $λ$ . If this is satisfied, then the cor…

math.AG2021

Geometric Structure of Affine Deligne-Lusztig Varieties for $G L_{3}$

Ryosuke Shimada

In this paper we study the geometric structure of affine Deligne-Lusztig varieties for $G L_{3}$ and $b$ basic. We completely determine the irreducible components of the affine Delign…

Basic Loci of Positive Coxeter Type for GLn​

Affine Deligne-Lusztig Varieties of Positive Coxeter Type

Semi-Modules and Crystal Bases via Affine Deligne-Lusztig Varieties

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

Geometric Structure of Affine Deligne-Lusztig Varieties for GL3​

Basic Loci of Positive Coxeter Type for $G L_{n}$

On some simple geometric structure of affine Deligne-Lusztig varieties for $G L_{n}$

Geometric Structure of Affine Deligne-Lusztig Varieties for $G L_{3}$