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Riemann surfaces in a nutshell

Abstract: The aim of this lectures is to provide an elementary introduction to the (orientable) Riemann surfaces. A tentative program is:
  • Lect. 1: The sphere and projective transformations.
  • Lect. 2: The torus in different parametrizations. Abelian differentials.
  • Lect. 3: Higher genus Riemann surfaces.
 
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