Riemann Surfaces by Way of Complex Analytic Geometry

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Table of Contents

  • Preface
  • Complex analysis
  • Riemann surfaces
  • Functions on Riemann surfaces
  • Complex line bundles
  • Complex differential forms
  • Calculus on line bundles
  • Potential theory
  • Solving overline{∂} with smooth data
  • Harmonic forms
  • Uniformization
  • Hörmander's Theorem
  • Embedding Riemann surfaces
  • The Riemann-Roch Theorem
  • Abel's Theorem
  • Bibliography
  • Index

About the Author

Dror Varolin is at Stony Brook University, NY, USA.


...the text will be very helpful for those who want to study Riemann surfaces from a differential geometric and PDE viewpoint." - Montash Math

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