Projectivized rank two toric vector bundles are Mori dream spaces
arXiv:1001.0838
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.
10 pages; Typos corrected, to appear in Communications in Algebra