On the connectedness of Deligne-Lusztig varieties
Ulrich Goertz
TL;DR
This paper establishes a criterion for the connectedness of unions of one-dimensional Deligne-Lusztig varieties and provides a new proof for the connectedness of Deligne-Lusztig varieties, enhancing understanding of their geometric structure.
Contribution
It introduces a new criterion for connectedness of unions of Deligne-Lusztig varieties and offers a simplified proof of Lusztig's connectedness criterion.
Findings
Criterion for connectedness of unions of Deligne-Lusztig varieties
Simplified proof of Lusztig's connectedness criterion
Enhanced understanding of Deligne-Lusztig varieties' geometry
Abstract
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Geometry and complex manifolds