Piriform Curve

Algebraic Equation: x4-2ab2x3+a4y2 = 0

Degree: 4

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

Multiplicity: 2, 2

Branching Number of each Singularity: 1, 2

Genus: 0

Parameterized Equation: x = (ab2(t2-1)+it)/(t2-1), y = -b2(ab2(t2+1)(t2-1)+it(t2+1))/(a(t2-1)2)

Delta Invariant: 3

Milnor Number: 2

Tjurina Number: 5





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