A kind of algebraic variety generalizing a torus with its abelian group structure.
A fan is a collection of cones closed under the operations of taking faces and intersections. Each cone gives rise to an affine variety. The result of gluing these along intersections gives the toric variety of this fan .
This correspondence extends functorially. Fan morphisms between a fan in to in is a linear map from to such that every cone goes to where is a cone in .
Last revised on August 14, 2019 at 20:33:49. See the history of this page for a list of all contributions to it.