It takes the average reader 6 hours and 30 minutes to read Abelian Varieties over the Complex Numbers by Herbert Lange
Assuming a reading speed of 250 words per minute. Learn more
This textbook offers an introduction to abelian varieties, a rich topic of central importance to algebraic geometry. The emphasis is on geometric constructions over the complex numbers, notably the construction of important classes of abelian varieties and their algebraic cycles. The book begins with complex tori and their line bundles (theta functions), naturally leading to the definition of abelian varieties. After establishing basic properties, the moduli space of abelian varieties is introduced and studied. The next chapters are devoted to the study of the main examples of abelian varieties: Jacobian varieties, abelian surfaces, Albanese and Picard varieties, Prym varieties, and intermediate Jacobians. Subsequently, the Fourier–Mukai transform is introduced and applied to the study of sheaves, and results on Chow groups and the Hodge conjecture are obtained. This book is suitable for use as the main text for a first course on abelian varieties, for instance as a second graduate course in algebraic geometry. The variety of topics and abundant exercises also make it well suited to reading courses. The book provides an accessible reference, not only for students specializing in algebraic geometry but also in related subjects such as number theory, cryptography, mathematical physics, and integrable systems.
Abelian Varieties over the Complex Numbers by Herbert Lange is 390 pages long, and a total of 97,500 words.
This makes it 132% the length of the average book. It also has 119% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 8 hours and 52 minutes to read Abelian Varieties over the Complex Numbers aloud.
Abelian Varieties over the Complex Numbers is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
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