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genus of singular curve (with non-ordinary singularity)

1Anonymous
垢版 |
2018/09/24(Mon) 01:58:07.66
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!
2Anonymous
垢版 |
2018/09/24(Mon) 12:33:10.80
ssssex
3Anonymous
垢版 |
2019/04/03(Wed) 10:48:05.26
https://i.imgur.com/ES1OeWc.jpg
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