Abelian Varieties
Abelian Varieties
- ISBN 13:
9780486828053
- ISBN 10:
0486828050
- Edition: Reprint
- Format: Paperback
- Copyright: 02/13/2019
- Publisher: Dover Publications
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Summary
The book focuses exclusively on Abelian varieties rather than the broader field of algebraic groups; therefore, the first chapter presents all the general results on algebraic groups relevant to this treatment. Each chapter begins with a brief introduction and concludes with a historical and bibliographical note. Topics include general theorems on Abelian varieties, the theorem of the square, divisor classes on an Abelian variety, functorial formulas, the Picard variety of an arbitrary variety, the I-adic representations, and algebraic systems of Abelian varieties. The text concludes with a helpful Appendix covering the composition of correspondences.