On the connectedness of Deligne-Lusztig varieties

Details On the connectedness of Deligne-Lusztig varieties On the connectedness of Deligne-Lusztig varieties

2008-07-17

arxiv.org/abs/0807.2786v2

Mathematics

Algebraic Geometry

v2: Revised Section 3, added Section 4. 6 pages

Scientific paper

We give a criterion which determines when a union of one-dimensional
Deligne-Lusztig varieties has a connected closure. We also obtain a new, short
proof of the connectedness criterion for Deligne-Lusztig varieties due to
Lusztig.

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