On the K-theoretic fundamental class of Deligne-Lusztig varieties

JOURNAL OF PURE AND APPLIED ALGEBRA

卷:224

Article

Hudson, Thomas¹  Peters, Dennis¹ 

[1] Berg Univ Wuppertal, Fachgrp Math & Informat, Gaussstr 20, D-42119 Wuppertal, Germany

关键词: Deligne-Lusztig varieties;    K-theory;    Grothendieck polynomials;    Degeneracy loci;   

DOI  :  10.1016/j.jpaa.2020.106335

来源: Elsevier

【 摘 要 】

In this paper we express the class of the structure sheaves of the closures of Deligne- Lusztig varieties as explicit double Grothendieck polynomials in the first Chern classes of appropriate line bundles on the ambient flag variety. This is achieved by viewing such closures as degeneracy loci of morphisms of vector bundles. (C) 2020 Elsevier B.V. All rights reserved.

【 授权许可】

Free