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- W2061409897 abstract "Abstract Following Contou-Carrere (Contou-Carrere,C. (1983). Geometrie des Groupes Semi-Simples,Resolutions equivariantes et Lieu Singulier de Leurs Varietes de Schubert. These d’etat,Universite Montpellier II (published partly as,Le Lieu singulier des varietes de Schubert (1988). Adv. Math.,71:186–221)),we consider the Bott-Samelson resolution of a Schubert variety as a variety of galleries in the Tits building associated to the situation. Using Carrell and Peterson's characterization (Carrell,J. B. (1994). The Bruhat graph of a Coxeter group,a conjecture of Deodhar,and rational smoothness of Schubert varieties. Proc. Symp. in Pure Math. 56(Part I):53–61),we prove that rational smoothness of a Schubert variety can be expressed in terms of a subspace of the Zariski tangent space called,the combinatorial tangent space." @default.
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- W2061409897 date "2003-01-08" @default.
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- W2061409897 title "Combinatorial Tangent Space and Rational Smoothness of Schubert Varieties" @default.
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- W2061409897 doi "https://doi.org/10.1081/agb-120022214" @default.
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