Introduction to Abelian Varieties: No.3 (CRM Monograph Series) - Hardcover

Murty, V. Kumar; Kumar, V. K.

Hardcover

ISBN 10: 0821869957 ISBN 13: 9780821869956

Publisher: American Mathematical Society, 1993

Synopsis

This book presents an elementary and self-contained approach to Abelian varieties, a subject that plays a central role in algebraic and analytic geometry, number theory, and complex analysis. The book is based on notes from a course given at Concordia University and would be useful for independent study or as a textbook for graduate courses in complex analysis, Riemann surfaces, number theory, or analytic geometry. Murty works mostly over the complex numbers, discussing the theorem of Abel-Jacobi and Lefschetz's theorem on projective embeddings. After presenting some examples, Murty touches on Abelian varieties over number fields, as well as the conjecture of Tate (Faltings's theorem) and its relation to Mordell's conjecture. References are provided to guide the reader in further study. Graduate students and researchers wishing an introduction to the subject.

Edition details

• Publisher: American Mathematical Society
• Publication date: 1993
• Language: English
• ISBN 10: 0821869957
• ISBN 13: 9780821869956
• Binding: Hardcover
• Number of pages: 112