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arxiv: 0807.2786 · v2 · submitted 2008-07-17 · 🧮 math.AG

On the connectedness of Deligne-Lusztig varieties

classification 🧮 math.AG
keywords deligne-lusztigvarietiesconnectednesscriterionclosureconnecteddeterminesgive
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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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