Abstract
Let G denote an adjoint semi-simple group over a field. Following Contou-Carrère (cf. [1]), we consider the Bott–Samelson resolution of a Schubert variety as a variety of galleries in the building associated to the group G. We then determine the fibre of this resolution thanks to the combinatoric of the building.
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More From: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics
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