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

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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.
LaTeX, 16 pages

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Algebraic Geometry, 14C25; 14E30; 14L30; 14M17

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http://salesiana.dossiersoluciones.com/handle/123456789/65520

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0211027
 http://arxiv.org/abs/math/0211027

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arXiv