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RandomCurvesOverVerySmallFiniteFields :: isSmoothCurve

isSmoothCurve -- Tests smoothness of a curve

Synopsis

Usage:
isSmoothCurve(IC)
Inputs:
- IC, an ideal, the Ideal of a curve
Outputs:
- a Boolean value, , whether the curve is smooth or not

Description

Checks whether a curve is smooth or not

i1 : S = QQ[x,y,z];

i2 : IC = ideal(x*y);

o2 : Ideal of S

i3 : isSmoothCurve(IC)

o3 = false

i4 : IC2 = ideal random(S^1,S^{1:-2});

o4 : Ideal of S

i5 : isSmoothCurve(IC2)

o5 = true

Ways to use `isSmoothCurve` :

isSmoothCurve(Ideal)