Projectivized rank two toric vector bundles are Mori dream spaces

Details Projectivized rank two toric vector bundles are Mori dream spaces Projectivized rank two toric vector bundles are Mori dream spaces

2010-01-06

arxiv.org/abs/1001.0838v2

Mathematics

Algebraic Geometry

10 pages; Typos corrected, to appear in Communications in Algebra

Scientific paper

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.

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