genus of singular curve (with non-ordinary singularity) (3レス)
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1: 2018/09/24(Mon)01:58 AAS
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
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2: 2018/09/24(Mon)12:33 AAS
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3: 2019/04/03(Wed)10:48 AAS
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