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NAGtypes :: numericalVariety(List)

numericalVariety(List) -- construct a numerical variety

Synopsis

Description

Used to construct a numerical variety. It is NOT expected that every witness set W in the list Ws has the same W.Equations.

i1 : R = CC[x,y]     

o1 = R

o1 : PolynomialRing
i2 : I = ideal((x^2+y^2+2)*x,(x^2+y^2+2)*y);

o2 : Ideal of R
i3 : w1 = witnessSet(I , ideal(x-y), {point {{0.999999*ii,0.999999*ii}}, point {{-1.000001*ii,-1.000001*ii}}} )

o3 = [dim=1,deg=2]

o3 : WitnessSet
i4 : w0 = witnessSet(I, ideal R, {point {{0.,0.}}})

o4 = [dim=0,deg=1]

o4 : WitnessSet
i5 : V = numericalVariety {w0,w1}

o5 = A variety of dimension 1 with components in
     dim 0:  [dim=0,deg=1]
     dim 1:  [dim=1,deg=2]

o5 : NumericalVariety