Purity of the anisotropic affine Springer fibers for GL_n

2024/11/13 by Chen, Zongbin · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2411.08403

Abstract

For the group GL_n and the anisotropic elements, we confirm the purity hypothesis of Goresky, Kottwitz and MacPherson, which states that the affine Springer fibers are cohomologically pure in the sense of Grothendieck-Deligne.

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• Purity of generalized affine Springer fibers from generic planar curve singularities

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