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Generalized affine Springer fibres

Part of: Linear algebraic groups and related topics Lie groups Discontinuous groups and automorphic forms

Published online by Cambridge University Press:  03 January 2012

Robert Kottwitz  and
Eva Viehmann
Robert Kottwitz
Affiliation:
Department of Mathematics, University of Chicago, 5734 University Avenue, Chicago, IL 60637, USA ([email protected])
Eva Viehmann
Affiliation:
Mathematisches Institut der Universität Bonn, Endenicher Allee 60, 53115 Bonn, Germany ([email protected])
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Abstract

This paper studies two new kinds of affine Springer fibres 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.

Keywords

root valuation strataaffine Springer fibresHodge–Newton decomposition

MSC classification

Secondary: 11F85: $p$-adic theory, local fields 20G25: Linear algebraic groups over local fields and their integers 22E67: Loop groups and related constructions, group-theoretic treatment
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 11 , Issue 3 , July 2012 , pp. 569 - 609
Copyright
Copyright © Cambridge University Press 2011

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