Claude Eicher

activity

20152026

D

-modules on

P^{1}

obtained as extensions from

C^{\times}

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math.AG2026

Orbits of subgroups of codimension one to four of the Iwahori group in the affine flag variety of $SL_{2}$

Claude Eicher

We describe how each finite dimensional Schubert cell in the affine flag variety of $SL_{2}$ decomposes into orbits for a chain of subgroups of codimension one to four of the…

math.AG2020

Twisted $D$ -module extensions of local systems on a certain subvariety isomorphic to $G_{m}^{2}$ of the affine flag variety of $SL_{2}$

Claude Eicher

We introduce a family of rank-one local systems in the category of twisted $D$ -modules on a certain subvariety isomorphic to $G_{m}^{2}$ of the affine fla…

math.AG2018

Projective lines in the affine flag manifold with given tangent root vector

Claude Eicher

We first describe the tangent space to the affine flag manifold associated to a simple algebraic group over $C$ at the distinguished point starting from standard definitio…

Orbits of subgroups of codimension one to four of the Iwahori group in the affine flag variety of SL2​

Twisted D-module extensions of local systems on a certain subvariety isomorphic to Gm​2 of the affine flag variety of SL2​

Projective lines in the affine flag manifold with given tangent root vector

Orbits of subgroups of codimension one to four of the Iwahori group in the affine flag variety of $SL_{2}$

Twisted $D$ -module extensions of local systems on a certain subvariety isomorphic to $G_{m}^{2}$ of the affine flag variety of $SL_{2}$