Schubert polynomials and Arakelov theory of symplectic flag varieties
Algebraic Geometry
2014-02-26 v2 Combinatorics
Abstract
Let X be the flag variety of the symplectic group. We propose a theory of combinatorially explicit Schubert polynomials which represent the Schubert classes in the Borel presentation of the cohomology ring of X. We use these polynomials to describe the arithmetic Schubert calculus on X. Moreover, we give a method to compute the natural arithmetic Chern numbers on X, and show that they are all rational numbers.
Keywords
Cite
@article{arxiv.0808.1329,
title = {Schubert polynomials and Arakelov theory of symplectic flag varieties},
author = {Harry Tamvakis},
journal= {arXiv preprint arXiv:0808.1329},
year = {2014}
}
Comments
22 pages; final version