Kappa Curve

Algebraic Equation: x2y2+y4-a2x2 = 0

Degree: 4

Singularities: [0:0:1], [1:0:0]

Multiplicity: 2, 2

Branching Number of each Singularity: 2, 2

Genus: 0

Parameterized Equation:  x = ai(1+t2)2/(2t(1-t2)), y = -a(1+t2)/(1-t2)

Delta Invariant: 3

Milnor Number: 3

Tjurina Number: 4





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