Ryosuke Shimada

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20212024

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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…

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

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

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