Skip to main content

I am no topologist, but I find pictures like this amusing:

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 $n$.