Computations in intersection rings of flag bundles

Intersection rings of flag varieties and of isotropic flag varieties are generated by Chern classes of the tautological bundles modulo the relations coming from multiplicativity of total Chern classes. In this paper we describe the Groebner bases of the ideals of relations and give applications to c...

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Bibliographic Details
Published in:arXiv.org 2022-04
Main Authors: Grayson, Daniel R, Seceleanu, Alexandra, Stillman, Michael E
Format: Article
Language:English
Subjects:
Bundles
Intersections
Online Access:Get full text
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Summary:Intersection rings of flag varieties and of isotropic flag varieties are generated by Chern classes of the tautological bundles modulo the relations coming from multiplicativity of total Chern classes. In this paper we describe the Groebner bases of the ideals of relations and give applications to computation of intersections, as implemented in Macaulay2.
ISSN:2331-8422