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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) | * Harbater, David. "." The Legacy of Bernhard Riemann After 150 (2015) | ||
* Ryan Patrick Catullo, . A for the paper. | * Ryan Patrick Catullo, . A for the paper. |
Latest revision as of 19:48, 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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