Synopses & Reviews
Introduction to Algebraic and Abelian Functions is a self-contained presentation of a fundamental subject in algebraic geometry and number theory. For this revised edition, the material on theta functions has been expanded, and the example of the Fermat curves is carried throughout the text. This volume is geared toward a second-year graduate course, but it leads naturally to the study of more advanced books listed in the bibliography.
Review
Second Edition S. Lang Introduction to Algebraic and Abelian Functions "An excellent and very readable introduction to basic notions in algebraic geometry."--MATHEMATICAL REVIEWS
Table of Contents
x The Riemann-Roch Theorem
x The Fermat Curve
x The Riemann Surface
x The Theorem of Abel-Jacobi
x Linear Theory of Theta Functions
x Homomorphisms and Duality
x Riemann Matrices and Classical Theta Functions
x Involutions and Abelian Manifolds of Quaternion Type
x Theta Functions and Divisors