Generalized affine Springer fibers
Robert Kottwitz, Eva Viehmann
TL;DR
This paper introduces two new types of affine Springer fibers tailored to root valuation strata and develops linear versions of Katz's Hodge-Newton decomposition, advancing understanding in geometric representation theory.
Contribution
It presents novel affine Springer fibers adapted to root valuation strata and extends Katz's Hodge-Newton decomposition with linear variants.
Findings
Defined two new affine Springer fibers for root valuation strata
Developed linear versions of Katz's Hodge-Newton decomposition
Enhanced tools for geometric representation theory
Abstract
This paper studies two new kinds of affine Springer fibers that are adapted to the root valuation strata of Goresky-Kottwitz-MacPherson. In addition it develops various linear versions of Katz's Hodge-Newton decomposition.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Advanced Mathematical Identities · Advanced Combinatorial Mathematics