Complex Algebraic Curves

This book introduces the theory, observes the algebraic and topological properties of complex algebraic curves, and shows how they are related to complex analysis.

Frances Kirwan (Author)

9780521423533, Cambridge University Press

Paperback, published 20 February 1992

276 pages
22.9 x 15.3 x 1.8 cm, 0.44 kg

"At last an introduction to the theory of algebraic curves that is understandable by undergraduates, and that does not shy away from the various aspects of the theory: algebraic, topological, complex analytic, etc. Good bedside reading." Gian-Carlo Rota, The Bulletin of Mathematical Books

Complex algebraic curves were developed in the nineteenth century. They have many fascinating properties and crop up in various areas of mathematics, from number theory to theoretical physics, and are the subject of much research. By using only the basic techniques acquired by most undergraduate courses in mathematics, Dr Kirwan introduces the theory, observes the algebraic and topological properties of complex algebraic curves, and shows how they are related to complex analysis. This book grew from a lecture course given by Dr Kirwan at Oxford University and will be an excellent companion for final year undergraduates and graduates who are studying complex algebraic curves.

1. Introduction and background
2. Foundations
3. Algebraic properties
4. Topological properties
5. Riemann surfaces
6. Differentials on Riemann surfaces
7. Singular curves
Appendices.

Subject Areas: Applied mathematics [PBW]