Mori dream space

GPTKB entity

Statements (21)
Predicate Object
gptkbp:instanceOf gptkb:algebraic_geometry
gptkbp:characterizedBy finite generation of the Cox ring
gptkbp:citation Hu, Y.; Keel, S. (2000). Mori dream spaces and GIT.
gptkbp:example gptkb:Fano_variety
gptkb:toric_variety
blow-up of projective space at points
gptkbp:field gptkb:algebraic_geometry
https://www.w3.org/2000/01/rdf-schema#label Mori dream space
gptkbp:introduced Sean Keel
Yi Hu
gptkbp:introducedIn 2002
gptkbp:namedAfter gptkb:Shigefumi_Mori
gptkbp:property Cox ring is finitely generated
ample cone is rational polyhedral
effective cone is rational polyhedral
every small Q-factorial modification is a Mori dream space
gptkbp:relatedTo gptkb:minimal_model_program
Mori program
gptkbp:bfsParent gptkb:MMP_(Minimal_Model_Program)
gptkb:Cox_ring
gptkbp:bfsLayer 7