# isSameMap -- Checks whether two maps to projective space are really the same

## Synopsis

• Usage:
b = isSameMap(L1,L2)
b = isSameMap(L1,L2, R1)
b = isSameMap(f1, f2)
• Inputs:
• L1, a list, The homogeneous forms that define the first map.
• L2, a list, The homogeneous forms that define the second map.
• R1, a ring, The ring in which the homogeneous forms should live.
• f1, , The first map.
• f2, , The second map.
• Outputs:
• b, , True if the maps are the same, false otherwise.

## Description

Checks whether two maps, from the same variety, to projective space are really the same. If you pass it two ring maps, it will check whether the source and targets are really the same.

 i1 : R=QQ[x,y,z]; i2 : S=QQ[a,b,c]; i3 : L1={y*z,x*z,x*y}; i4 : L2={x*y*z,x^2*z,x^2*y}; i5 : isSameMap(L1,L2) o5 = true

## Ways to use isSameMap :

• "isSameMap(List,List)"
• "isSameMap(List,List,Ring)"
• "isSameMap(RingMap,RingMap)"

## For the programmer

The object isSameMap is .