Pureté des fibres de Springer affines pour $GL_4$

DOI10.24033/bsmf.2663zbMath1308.14051OpenAlexW2964310167MaRDI QIDQ2936965

Zongbin Chen

Publication date: 7 January 2015

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://smf4.emath.fr/en/Publications/Bulletin/142/html/smf_bull_142_193-222.php

zbMATH Keywords

affine Grassmannianaffine pavingaffine Springer fiberpure cohomology

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Linear algebraic groups over arbitrary fields (20G15) Group actions on varieties or schemes (quotients) (14L30) Grassmannians, Schubert varieties, flag manifolds (14M15) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Group actions on affine varieties (14R20)

Related Items (3)

On the fundamental domain of affine Springer fibers ⋮ TRUNCATED AFFINE SPRINGER FIBERS AND ARTHUR’S WEIGHTED ORBITAL INTEGRALS ⋮ The \(\xi\)-stability on the affine Grassmannian

Cites Work

• Fixed point varieties on affine flag manifolds
• Unrefined minimal \(K\)-types for \(p\)-adic groups
• Homology of affine Springer fibers in the unramified case
• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
• Purity of equivalued affine Springer fibers

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