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| In mathematics, specifically complex analysis, '''Riemann's existence theorem''' says, in modern formulation, that the category of compact ]s is equivalent to the category of complex ]s. | In mathematics, specifically complex analysis, '''Riemann's existence theorem''' says, in modern formulation, that the category of compact ]s is equivalent to the category of complex ]s. | ||
| == References |
== References = | ||
| * Harbater, David. "." The Legacy of Bernhard Riemann After 150 (2015) | |||
| * Ryan Patrick Catullo, . A for the paper. | * Ryan Patrick Catullo, . A for the paper. | ||
| *SGA 1 and 4 | *SGA 1 and 4 | ||
Revision as of 19:45, 23 December 2024
In mathematics, specifically complex analysis, Riemann's existence theorem says, in modern formulation, that the category of compact Riemann surfaces is equivalent to the category of complex algebraic curves.
= References
- Harbater, David. "Riemann’s existence theorem." The Legacy of Bernhard Riemann After 150 (2015)
- Ryan Patrick Catullo, Riemann Existence Theorem. A slide for the paper.
- SGA 1 and 4
Further reading
- https://mathoverflow.net/questions/80770/reference-request-riemanns-existence-theorem
- https://mathoverflow.net/questions/40791/finite-covers-of-complex-varieties-all-but-two-questions-answered
- https://ncatlab.org/nlab/show/Riemann+existence+theorem
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