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LatticePolytopes :: toricBlowUp

toricBlowUp -- calculates the stellar subdivision of a polytope at a given face.

Synopsis

Description

Calculates the stellar subdivsion of height k of a polytope P at the face Q. This corresponds to constructing the embedding given by the global sections of L-kE for the blow-up at the torus invariant subvariety associated to Q. Here L is the ample line bundle on the toric variety corresponding to P and E is the exeptional divisor.

P=cayley(matrix{{0,2,0}},matrix{{0,0,2}})
vertices oo
Q=convexHull(matrix{(vertices P)_0})
toricBlowUp(P,Q,1)
vertices oo

Ways to use toricBlowUp :