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decompose(MultiprojectiveVariety) -- irreducible components of a variety

Description

This calculation is performed using the function decompose(Ideal) (missing documentation) .

i1 : C = PP_(ZZ/100003)^(1,4);

o1 : ProjectiveVariety, curve in PP^4
 
i2 : L = linearSpan sum{point C,point C}, L' = linearSpan sum{point C,point ambient C};
 
i3 : X = ⋃ {C,L,L'};

o3 : ProjectiveVariety, curve in PP^4
 
i4 : D = decompose X

o4 = {curve in PP^4 cut out by 3 hypersurfaces of degree 1, curve in PP^4 cut
     ------------------------------------------------------------------------
     out by 3 hypersurfaces of degree 1, curve in PP^4 cut out by 6
     ------------------------------------------------------------------------
     hypersurfaces of degree 2}

o4 : List
 
i5 : assert(X == ⋃ D)

See also

Ways to use this method:

The source of this document is in MultiprojectiveVarieties.m2:3850:0.