polynomialsToPolytope -- Return the convexHull of the union of the Newton polytope of all the polynomial in the list

Synopsis

• Usage:

  N = polynomialsToPolytope(polynomialList)

• Inputs:

  • polynomialList, a list, with polynomials {f0,f1,f2,f3}
• Outputs:

  • N, a convex polyhedron

Description

i1 : S = QQ[s,t]; 

i2 : f0 = s^2+s^3*t; 

i3 : f1 = s^3*t^6+1; 

i4 : f2 = s*t^2+2*s^3*t^5; 

i5 : f3 = s^2+s^3*t^6; 

i6 : l = {f0,f1,f2,f3};

i7 : N = polynomialsToPolytope(l);

See also

• teToricRing -- Returns the coordinate ring of the toric variety
• teToricRationalMap -- Computes the rational map G defined by {f0,f1,f2,f3} over the toric coordinate ring associated to a polytope P
• representationMatrix -- computes the right-most map of the Z-complex in degree nu)