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

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 }
          0   1

o5 : List

i6 : gaussFiber(B)

o6 = {1}

o6 : List

See also

• gausskFiber -- computes the general fiber of the Gauss map of order k
• gaussImage -- computes the image the Gauss map
• gausskImage -- computes the image of the Gauss map of order k