Complex Algebraic Curves

TRAMA

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

NOTE EDITORE

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.

SOMMARIO

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

PREFAZIONE

Complex algebraic curves have many fascinating properties and crop up in various areas of mathematics, from the number theory to theoretical physics. This book grew from a lecture course at Oxford ~Univeristy and will be an excellent companion for final year undergraduates and graduates studying this topic.

ALTRE INFORMAZIONI

• Condizione: Nuovo
• ISBN: 9780521423533
• Collana: London Mathematical Society Student Texts
• Dimensioni: 229 x 18 x 153 mm Ø 440 gr
• Formato: Brossura
• Pagine Arabe: 276