On the Picard group of Deligne-Lusztig varieties / vorgelegt von Erik Barinaga. Wuppertal, 2026
Inhalt
- Introduction
- Preliminaries
- Notation and conventions
- Finite groups of Lie type, Weyl groups and Dynkin diagrams
- Schubert varieties and rational smoothness
- Chow groups and Schubert calculus
- Deligne–Lusztig varieties
- Representation theory
- Integral Picard group
- The case of the longest Weyl group element
- Alternative proof using fine Deligne–Lusztig varieties
- Other Weyl group elements
- Rational Picard group
- Motivic cohomology
- Cyclic shifts
- l-adic cohomology
- Cycle map
- The Coxeter case
- The general case
- The untwisted type A case
- Computations in groups of small rank
- Appendix
- Bibliography