1 Introduction to Compact Riemann Surfaces

  title={1 Introduction to Compact Riemann Surfaces},
  author={Alexander I. Bobenko},
The theory of Riemann surfaces is a classical field of mathematics where geometry and analysis play equally important roles. The purpose of these notes is to present some basic facts of this theory to make this book more self contained. In particular we will deal with classical descriptions of Riemann surfaces, Abelian differentials, periods on Riemann surfaces, meromorphic functions, theta functions, and uniformization techniques. Motivated by the concrete point of view on Riemann surfaces of… CONTINUE READING
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