gaussFiber -- computes the general fiber of the Gauss map
Synopsis
Usage:
gaussFiber(A)
Inputs:
A, a matrix, or a list where the columns are lattice points
Outputs:
a list, of monomials giving the torus embedding of an irreducible component of the general fiber of the Gauss map of the toric variety X_A
Description
gaussFiber is a function. It computes an irreducible component of the general fiber of the Gauss map as described in the paper Gauss Maps of Toric Varieties
i1 : P=convexHull(matrix{{0,1}});
i2 : Q=convexHull(matrix{{0}});
i3 : A=latticePoints(cayley({P,Q}));
i4 : B=latticePoints(cayley({P,P}));
i5 : gaussFiber(A)
o5 = {1, x , x }
1 0
o5 : List
i6 : gaussFiber(B)
o6 = {1}
o6 : List
See also
gausskFiber -- computes the general fiber of the Gauss map of order k