Geometry of \(B\times B\)-orbit closures in equivariant embeddings

DOI10.1016/j.aim.2007.06.001zbMath1133.14053arXivmath/0510088OpenAlexW2085326303MaRDI QIDQ2456975

Xuhua He, Jesper Funch Thomsen

Publication date: 29 October 2007

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510088

zbMATH Keywords

Frobenius morphismorbit closures\(F\)-regularityequivariant embeddings of reductive groups

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Singularities in algebraic geometry (14B05) Group actions on varieties or schemes (quotients) (14L30) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (10)

Split subvarieties of group embeddings ⋮ Standard monomials for wonderful group compactifications. ⋮ Character sheaves on the semi-stable locus of a group compactification. ⋮ Normality and Cohen-Macaulayness of local models of Shimura varieties ⋮ On embeddings of certain spherical homogeneous spaces in prime characteristic ⋮ Frobenius splitting and geometry of \(G\)-Schubert varieties ⋮ Globally \(F\)-regular and log Fano varieties ⋮ Geometry of second adjointness for 𝑝-adic groups ⋮ On the geometry of spherical varieties ⋮ Singularities of closures of \(B\)-conjugacy classes of nilpotent elements of height 2

Cites Work

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• FROBENIUS SPLITTING OF EQUIVARIANT CLOSURES OF REGULAR CONJUGACY CLASSES
• The 𝐺-stable pieces of the wonderful compactification
• Tight closure and strong F-regularity
• F-Regularity, Test Elements, and Smooth Base Change
• Large Schubert varieties
• Line bundles on Bott-Samelson varieties
• Strong and weak F -regularity are equivalent for graded rings
• F - regularity of large Schubert varieties
• Globally F-regular varieties: Applications to vanishing theorems for quotients of Fano varieties

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