Mori dream space

In algebraic geometry, a Mori dream space is a projective variety whose cone of effective divisors has a well-behaved decomposition into certain convex sets called "Mori chambers". Hu & Keel (2000) showed that Mori dream spaces are quotients of affine varieties by torus actions. The notion is named so because it behaves nicely from the point of view of Mori's minimal model program.

See also

• spherical variety

References

• Hu, Yi; Keel, Sean (2000), "Mori dream spaces and GIT", The Michigan Mathematical Journal 48 (1): 331–348, doi:10.1307/mmj/1030132722, ISSN 0026-2285, MR 1786494