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arXiv · 1904.08168

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

Thomas Hudson·Dennis Peters
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Abstract

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.

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BibTeXRIS

Thomas Hudson, Dennis Peters. 2019-04-17. On the K-theoretic fundamental classes of Deligne-Lusztig varieties. https://doi.org/10.1016/j.jpaa.2020.106335

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