English

Computations in intersection rings of flag bundles

Algebraic Geometry 2022-04-12 v2 Commutative Algebra

Abstract

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.

Keywords

Cite

@article{arxiv.1205.4190,
  title  = {Computations in intersection rings of flag bundles},
  author = {Daniel R. Grayson and Alexandra Seceleanu and Michael E. Stillman},
  journal= {arXiv preprint arXiv:1205.4190},
  year   = {2022}
}
R2 v1 2026-06-21T21:06:19.671Z