Moduli of Riemann Surfaces, Transcendental Aspects

2000/03/24 by Richard Hain, Hain, Richard · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #History and Theory of Mathematics #Mathematics and Applications #math.AG #math.GT

paper · pdf · doi:10.48550/arxiv.math/0003144

Latex file; 54 pages, 15 figures. To be published in the ICTP Lecture Notes Series

arxiv created 2000/03/24 · openalex publication_date 2000/03/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is an informal set of lecture notes on moduli spaces of curves based on a set of lectures given at the ICTP last summer. It begins at an elementary level and discusses the genus 1 case in detail. The notes then give an informal treatement of Teichmuller space and higher genus moduli spaces. The point of view is generally topological and analytical.

Cited by

• The Noether-Lefschetz conjecture and generalizations

Related

• Lectures on Moduli Spaces of Elliptic Curves
• Moduli of algebraic and tropical curves
• Algebraic Surfaces and their Moduli Spaces: Real, Differentiable and Symplectic Structures
• A tour through Mirzakhani's work on moduli spaces of Riemann surfaces
• Comparison moduli spaces of Riemann surfaces