Contractible classes in toric varieties
Algebraic Geometry
2007-05-23 v2
Abstract
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.
Cite
@article{arxiv.math/0111332,
title = {Contractible classes in toric varieties},
author = {Cinzia Casagrande},
journal= {arXiv preprint arXiv:math/0111332},
year = {2007}
}
Comments
LaTeX, 27 pages, 5 figures; revised version, to appear in Mathematische Zeitschrift