Arithmetic geometry of algebraic curves and their moduli space
arXiv:1409.0951
Abstract
We review the following subjects: 1. Basic theory on algebraic curves and their moduli space, 2. Schottky uniformization theory of Riemann surfaces, and its extension called arithmetic uniformization theory, 3. Application to these theories to the arithmetic of the moduli space of algebraic curves, especially to automorphic forms on this space.
This is a lecture note on the arithmetic geometry of algebraic curves and their moduli space