Abelian Varieties is popular PDF and ePub book, written by Serge Lang in 2019-02-13, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Abelian Varieties can be Read Online from any device for your convenience.
Abelian Varieties Book PDF Summary
Based on the work in algebraic geometry by Norwegian mathematician Niels Henrik Abel (1802–29), this monograph was originally published in 1959 and reprinted later in author Serge Lang's career without revision. The treatment remains a basic advanced text in its field, suitable for advanced undergraduates and graduate students in mathematics. Prerequisites include some background in elementary qualitative algebraic geometry and the elementary theory of algebraic groups. 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.
Detail Book of Abelian Varieties PDF
- Author : Serge Lang
- Release : 13 February 2019
- Publisher : Courier Dover Publications
- ISBN : 9780486839769
- Genre : Mathematics
- Total Page : 273 pages
- Language : English
- PDF File Size : 15,6 Mb
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