The cone of effective one-cycles of certain G-varieties
Algebraic Geometry
2007-05-23 v1
Abstract
Let X be a normal projective variety admitting an action of a semisimple group with a unique closed orbit. We construct finitely many rational curves in X, all having a common point, such that every effective one-cycle on X is rationally equivalent to a unique linear combination of these curves with non-negative rational coefficients. When X is nonsingular, these curves are projective lines, and they generate the integral Chow group of one-cycles.
Cite
@article{arxiv.math/0211027,
title = {The cone of effective one-cycles of certain G-varieties},
author = {Michel Brion},
journal= {arXiv preprint arXiv:math/0211027},
year = {2007}
}
Comments
LaTeX, 16 pages