Contractible classes in toric varieties

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Let X be a smooth, complete, toric variety. We study those curves C in X that are contractible, in the sense that there exists an equivariant morphism with connected fibers, with source X, that contracts exactly the irreducible curves that are numerically equivalent to a multiple of C. When X is projective, we compare contractible and extremal curves, and we show that every curve in X is numerically equivalent to a linear combination with positive integral coefficients of contractible curves.
LaTeX, 27 pages, 5 figures; revised version, to appear in Mathematische Zeitschrift

Keywords

Algebraic Geometry

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/62784

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0111332
 http://arxiv.org/abs/math/0111332

Collections

arXiv