multirationalMap(MultirationalMap,MultiprojectiveVariety) -- change the target of a multi-rational map

Synopsis

• Function: multirationalMap

• Usage:

  rationalMap(Phi,Y)

  multirationalMap(Phi,Y)

  check rationalMap(Phi,Y)

• Inputs:
  • Phi, a multi-rational map
  • Y, a multi-projective variety, which must be compatible with Phi
• Outputs:
  • a multi-rational map, defined in the same way as Phi but with Y as target

Description

i1 : Phi = rationalMap {super specialQuadraticTransformation 1}

o1 = Phi

o1 : MultirationalMap (rational map from PP^7 to PP^8)

i2 : Y = image Phi

o2 = Y

o2 : ProjectiveVariety, hypersurface in PP^8

i3 : Psi = rationalMap(Phi,Y)

o3 = Psi

o3 : MultirationalMap (dominant rational map from PP^7 to Y)

See also

• check(MultirationalMap) -- check that a multi-rational map is well-defined
• MultirationalMap << MultiprojectiveVariety -- force the change of the target in a multi-rational map