conormalVariety(EmbeddedProjectiveVariety) -- the conormal variety of a projective variety

Synopsis

• Function: conormalVariety

• Usage:

  conormalVariety X

• Inputs:
  • X, an embedded projective variety
• Optional inputs:
  • SingularLocus => ..., default value null,
  • Strategy => ..., default value "Saturate",
  • Variable => ..., default value null,
• Outputs:
  • a multi-projective variety, the conormal variety of $X$

Description

i1 : X = PP_QQ^(2,2);

o1 : ProjectiveVariety, surface in PP^5

i2 : C = conormalVariety X;

o2 : ProjectiveVariety, 4-dimensional subvariety of PP^5 x PP^5

i3 : p2 = multirationalMap last projections C;

o3 : MultirationalMap (rational map from C to PP^5)

i4 : image p2 == dual X

o4 = true

See also

• dual(EmbeddedProjectiveVariety) -- the variety projectively dual to an embedded projective variety