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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

• Ryan Patrick Catullo, Riemann Existence Theorem

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

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