MultirationalMap | MultirationalMap -- product of multi-rational maps

Operator: |
Usage:

Phi | Psi
Inputs:
- Phi, a multi-rational map, $\Phi:X \dashrightarrow Y$
- Psi, a multi-rational map, $\Psi:X \dashrightarrow Z$
Outputs:
- a multi-rational map, the rational map $X \dashrightarrow Y\times Z$ defined by $p\mapsto (\Phi(p),\Psi(p))$; in other words, it is the map defined by the join of factor Phi with factor Psi

Description

i1 : Phi = rationalMap({veronese(1,2,ZZ/33331)},Dominant=>true);

o1 : MultirationalMap (dominant rational map from PP^1 to curve in PP^2)

i2 : Psi = rationalMap {veronese(1,3,ZZ/33331)};

o2 : MultirationalMap (rational map from PP^1 to PP^3)

i3 : (X,Y,Z) = (source Phi,target Phi,target Psi);

i4 : Eta = Phi | Psi;

o4 : MultirationalMap (rational map from X to Y x Z)

i5 : Eta | Phi;

o5 : MultirationalMap (rational map from X to Y x Z x Y)

i6 : Phi | Psi | Eta;

o6 : MultirationalMap (rational map from X to Y x Z x Y x Z)

i7 : super oo;

o7 : MultirationalMap (rational map from X to PP^2 x PP^3 x PP^2 x PP^3)

i8 : rationalMap(oo,image oo);

o8 : MultirationalMap (dominant rational map from X to curve in PP^2 x PP^3 x PP^2 x PP^3)

The source of this document is in MultiprojectiveVarieties.m2:3467:0.