The 𝐺-stable pieces of the wonderful compactification

DOI10.1090/S0002-9947-07-04158-XzbMath1124.20033arXivmath/0412302MaRDI QIDQ3431203

Xuhua He

Publication date: 5 April 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0412302

zbMATH Keywords

wonderful compactificationsconnected semisimple algebraic groupsstable piecescellular decompositions

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Group actions on varieties or schemes (quotients) (14L30)

Related Items (21)

Semistable locus of a group compactification ⋮ An extension of Bruhat's lemma. ⋮ Minimal length elements in some double cosets of Coxeter groups. ⋮ The character sheaves on the group compactification. ⋮ Ekedahl-Oort and Newton strata for Shimura varieties of PEL type ⋮ Character sheaves on the semi-stable locus of a group compactification. ⋮ Tautological rings of Shimura varieties and cycle classes of Ekedahl-Oort strata ⋮ A generalization of cyclic shift classes ⋮ On two notions of total positivity for partial flag varieties ⋮ On two mod \(p\) period maps: Ekedahl-Oort and fine Deligne-Lusztig stratifications ⋮ Truncations of level 1 of elements in the loop group of a reductive group. ⋮ Geometry of \(B\times B\)-orbit closures in equivariant embeddings ⋮ Dimension of affine Springer fibers for groups ⋮ Character sheaves on certain spherical varieties. ⋮ Stratifications in the reduction of Shimura varieties ⋮ Frobenius splitting and geometry of \(G\)-Schubert varieties ⋮ Decompositions related to symmetric varieties ⋮ Nonsplit Hecke algebras and perverse sheaves ⋮ FINE DELIGNE–LUSZTIG VARIETIES AND ARITHMETIC FUNDAMENTAL LEMMAS ⋮ Wonderful compactification of character varieties ⋮ ON -DIVISIBLE GROUPS WITH SATURATED NEWTON POLYGONS

Cites Work

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• Simple singularities and simple algebraic groups
• Intersection cohomology of \(B\times B\)-orbit closures in group compactifications.
• Unipotent variety in the group compactification.
• Hecke Algebras with Unequal Parameters
• Projective modules over polynomial rings

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