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.

Reviews

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