Cox ring of MDS
THEOREM 2.5.2 Let X be a normal Q-factorial projective variety such that Pic.X /Q D N 1.X /Q. Then X is a Mori dream space if and only if the Cox ring is finitely generated.
THEOREM 2.5.2 Let X be a normal Q-factorial projective variety such that Pic.X /Q D N 1.X /Q. Then X is a Mori dream space if and only if the Cox ring is finitely generated.