The cone of effective one-cycles of certain G-varieties

Details The cone of effective one-cycles of certain G-varieties The cone of effective one-cycles of certain G-varieties

2002-11-02

arxiv.org/abs/math/0211027v1

Mathematics

Algebraic Geometry

LaTeX, 16 pages

Scientific paper

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.

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