2016/03/30 by Dongkwan Kim, Kim, Dongkwan
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #math.AG #math.RT
paper · pdf · doi:10.48550/arxiv.1603.09295
fixed a typo in the reference
openalex publication_date 2016/03/30 · arxiv created 2016/06/01 · arxiv updated 2016/06/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we consider Deligne-Lusztig varieties and their analogues when the Frobenius endomorphism is replaced with conjugation by an element in a group, especially a regular semisimple or regular unipotent one. We calculate their classes in the Chow group of the flag variety in terms of Schubert classes. Also we give some sufficient criteria when different elements in the Weyl group result in the same class.