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arxiv: 0801.1556 · v2 · submitted 2008-01-10 · 🧮 math.AG · math.GR

Compactification des vari\'et\'es de Deligne-Lusztig

classification 🧮 math.AG math.GR
keywords compactificationdeligne-lusztigaroundbott-samelson-demazure-hansenconstructcoveringdivisorsexplicitly
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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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