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Meromorphic functions and the Main Theorem for compact Riemann surfaces

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Abstract This chapter explains a strategy for proving the fundamental structural results about Riemann surfaces. It first considers the consequence of the Main Theorem for compact Riemann surfaces. It then analyzes the Riemann-Roch formula, the fundamental tool in the theory of compact Riemann surfaces.
Oxford University PressOxford
Title: Meromorphic functions and the Main Theorem for compact Riemann surfaces
Description:
Abstract This chapter explains a strategy for proving the fundamental structural results about Riemann surfaces.
It first considers the consequence of the Main Theorem for compact Riemann surfaces.
It then analyzes the Riemann-Roch formula, the fundamental tool in the theory of compact Riemann surfaces.

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