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GiantTortoise1729
  • Member for 7 years
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I am an undergraduate in my final year studying in Canada.

I am no topologist, but I find pictures like this amusing: constructing a genus 2 surface from 8-gon.

Also, this is a cool theorem (and I didn't know where else to put it): If $X$ is a complex manifold of dimension $n$ that is compact and connected, and $K(X)$ is the field of globally defined meromorphic functions on $X$, then the transcendental degree of $K(X)$ (viewed as a field extension of $\mathbb{C}$) is at most $n$.

$f^3 + g^3=1$ for two meromorphic functions

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