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Results tagged with riemann-surfaces
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user 65
Riemann surfaces(Riemannian surfaces) is one dimensional complex manifold. For questions about classical examples in complex analysis, complex geometry, surface topology.
5
votes
If Spec Z is like a Riemann surface, what's the analogue of integration along a contour?
For a number $f$ the local-global formula written as
$$
f_2\cdot f_3\cdot \dotsb \cdot f_{\mathbb Q} = 1
$$
where $f_p$ is the inverse power of $p$ that is equal to $f$ in the local field of $p$-adi …
- 15.1k
3
votes
Uniformization theorem for Riemann surfaces
I believe there is a formal proof of the classification along the following lines.
Being simply connected means that whenever you have curve, you can always get a disk inside. If there is more than o …
19
votes
Links between Riemann surfaces and algebraic geometry
This relationship is a very beautiful one.
Imagine a Riemann surface. There are different ways to introduce it, but since you gave kind of a reference point, let's just define it as a projective var …
- 15.1k
0
votes
Space of $(1,0)$-holomorphic forms on a Riemann surface
Certainly many good books but I'd like to note Griffiths-Harris, a large an systematic introduction to complex geometry starting from curves.
- 15.1k