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RandomCurveOfGenus9WithPencilOfDegree8 :: distinctPoints

distinctPoints -- Does the ideal defines an plane curve with ordinars double points?

Synopsis

Description

Given an ideal I in the homogeneous coordinate ring of P2 the function checks whether the corresponding defines a possible empty collection of distinct points

i1 : kk=ZZ/10007;
i2 : S=kk[x,y,z]

o2 = S

o2 : PolynomialRing
i3 : I=randomPlanePoints(10,S);

o3 : Ideal of S
i4 : distinctPoints I

o4 = true
i5 : J= intersect((ideal(x,y))^2,ideal(x,z))

                  2   2
o5 = ideal (x*y, x , y z)

o5 : Ideal of S
i6 : distinctPoints J

o6 = false

Ways to use distinctPoints :