Projectivized rank two toric vector bundles are Mori dream spaces
Algebraic Geometry
2011-01-04 v2 Combinatorics
Abstract
We prove that the Cox ring of the projectivization P(E) of a rank two toric vector bundle E, over a toric variety X, is a finitely generated k-algebra. As a consequence, P(E) is a Mori dream space if the toric variety X is projective and simplicial.
Keywords
Cite
@article{arxiv.1001.0838,
title = {Projectivized rank two toric vector bundles are Mori dream spaces},
author = {José Luis González},
journal= {arXiv preprint arXiv:1001.0838},
year = {2011}
}
Comments
10 pages; Typos corrected, to appear in Communications in Algebra