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NormalToricVarieties :: dim(NormalToricVariety)

dim(NormalToricVariety) -- get the dimension of a normal toric variety

Synopsis

Description

The dimension of a normal toric variety equals the dimension of its dense algebraic torus. In this package, the fan associated to a normal d-dimensional toric variety lies in the rational vector space d with underlying lattice N = ℤd. Hence, the dimension equals the number of entries in a minimal nonzero lattice point on a ray.

The following examples illustrate normal toric varieties of various dimensions.

dim projectiveSpace 1
dim projectiveSpace 5
dim hirzebruchSurface 7
dim weightedProjectiveSpace {1,2,2,3,4}
W = normalToricVariety({{4,-1,0},{0,1,0}},{{0,1}})
dim W
isDegenerate W

See also