On the connectedness of Deligne-Lusztig varieties

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

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Algebraic Geometry, 14L35; 20G40

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http://salesiana.dossiersoluciones.com/handle/123456789/167182

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0807.2786
 http://arxiv.org/abs/0807.2786

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arXiv