genus of singular curve (with non-ordinary singularity)

y^n = x^m <- has infinitely many integral point. thus is, by Siegel's theorem, of genus 0
y^2 = x^3 + x^2 <- has ordinary singularity only at the infinity point. thus is of genus 0

genus-degree formula for ordinary singularity now fails
let's have sex!

ssssex

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