Compactification des vari\'et\'es de Deligne-Lusztig
C\'edric Bonnaf\'e (LM-Besan\c{c}on), Rapha\"el Rouquier (MI)

TL;DR
This paper explicitly constructs the normalization of the Bott-Samelson-Demazure-Hansen compactification of Deligne-Lusztig varieties, providing insights into their local monodromy properties around divisors.
Contribution
It offers an explicit construction of the normalization of a key compactification of Deligne-Lusztig varieties, clarifying their local monodromy behavior.
Findings
Explicit normalization of the compactification constructed.
Retrieval of Deligne-Lusztig's local monodromy result.
Enhanced understanding of the geometry of Deligne-Lusztig varieties.
Abstract
We construct explicitly the normalisation of the Bott-Samelson-Demazure-Hansen compactification of Deligne-Lusztig varieties in their covering : we retrieve a result by Deligne-Lusztig about the local monodromy around the divisors of the compactification.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Advanced Algebra and Geometry
