On algebra generated by Chern-Bott forms on SL_n/B
alg-geom
2008-02-03 v1 Algebraic Geometry
Abstract
In this short note we give an explicit presentation of the algebra A_n generated by the curvature 2-forms of the standard Hermitiam line bundles over SL_n/B as the quotient of the polynomial ring. The difference between A_n and H^*(SL_n/B) reflects the fact that SL_n/B is not a symmetric space. Possible applications of A_n lie in the field of arithmetic intersection theory on flag varieties.
Cite
@article{arxiv.alg-geom/9708017,
title = {On algebra generated by Chern-Bott forms on SL_n/B},
author = {B. Shapiro and M. Shapiro},
journal= {arXiv preprint arXiv:alg-geom/9708017},
year = {2008}
}
Comments
AMSTeX, 7 pages, no pictures