Schubert polynomials and Arakelov theory of orthogonal flag varieties
Algebraic Geometry
2013-09-10 v2 Combinatorics
Abstract
We propose a theory of combinatorially explicit Schubert polynomials which represent the Schubert classes in the Borel presentation of the cohomology ring of orthogonal flag varieties. We use these polynomials to describe the arithmetic Schubert calculus on these spaces. We also give a method to compute the natural arithmetic intersection numbers which arise, and prove that they are all rational numbers.
Keywords
Cite
@article{arxiv.0907.3308,
title = {Schubert polynomials and Arakelov theory of orthogonal flag varieties},
author = {Harry Tamvakis},
journal= {arXiv preprint arXiv:0907.3308},
year = {2013}
}
Comments
16 pages; final version