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ambientVariety -- the ambient variety of a projective subvariety

Usage:

ambientVariety X
Inputs:
- X, a multi-projective variety, a subvariety of another variety Y
Outputs:
- a multi-projective variety, the ambient variety Y

Description

i1 : X = point PP_(ZZ/65521)^3;

o1 : ProjectiveVariety, a point in PP^3

i2 : Y = random({1},X);

o2 : ProjectiveVariety, surface in PP^3

i3 : X % Y

o3 = X

o3 : ProjectiveVariety, a point in PP^3 (subvariety of codimension 2 in Y)

i4 : ambientVariety X

o4 = Y

o4 : ProjectiveVariety, surface in PP^3

i5 : ambient X

o5 = PP^3

o5 : ProjectiveVariety, PP^3

See also

MultiprojectiveVariety % MultiprojectiveVariety -- subvariety of a projective variety
ambient(MultiprojectiveVariety) -- the ambient multi-projective space of the variety

Ways to use ambientVariety:

ambientVariety(MultiprojectiveVariety)

For the programmer

The object ambientVariety is a method function.

The source of this document is in MultiprojectiveVarieties.m2:3988:0.