Compactification des variétés de Deligne-Lusztig

Mathematics – Algebraic Geometry

Scientific paper

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14 pages. Minor corrections

Scientific paper

We construct explicitly the normalisation of the
Bott-Samelson-Demazure-Hansen compactification of Deligne-Lusztig varieties
$X(w)$ in their covering $Y(w)$: we retrieve a result by Deligne-Lusztig about
the local monodromy around the divisors of the compactification.

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