Abelian Varieties over the Complex Numbers: A G. Lange Hardcover**
Explore the rich topic of abelian varieties with this graduate-level textbook. Emphasizing geometric constructions over complex numbers, this book delves into the creation of important abelian varieties and their algebraic cycles. It begins with complex tori and theta functions, naturally progressing to the definition and basic properties of abelian varieties. The moduli space is then introduced and studied, followed by detailed examinations of key examples such as Jacobian varieties, abelian surfaces, and more. The Fourier-Mukai transform is applied to sheaf studies, yielding results on Chow groups and the Hodge conjecture. Suitable for a first course on abelian varieties or as a reference for students in algebraic geometry, number theory, and related fields. This hardcover edition provides an accessible introduction to a central area of algebraic geometry. Key Features: * Comprehensive introduction to abelian varieties. * Focus on geometric constructions over the complex numbers. * Detailed study of Jacobian varieties, abelian surfaces, and more. * Exploration of Fourier-Mukai transform and its applications. * Suitable for graduate students and researchers in algebraic geometry and related fields. Product Summary: Abelian Varieties over the Complex Numbers, Hardcover, English, Herbert Lange, Springer International Publishing AG, 384 pages, First edition, ISBN 9783031444463.
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Abelian Varieties over the Complex Numbers: A G. Lange Hardcover**
Explore the rich topic of abelian varieties with this graduate-level textbook. Emphasizing geometric constructions over complex numbers, this book delves into the creation of important abelian varieties and their algebraic cycles. It begins with complex tori and theta functions, naturally progressing to the definition and basic properties of abelian varieties. The moduli space is then introduced and studied, followed by detailed examinations of key examples such as Jacobian varieties, abelian surfaces, and more. The Fourier-Mukai transform is applied to sheaf studies, yielding results on Chow groups and the Hodge conjecture. Suitable for a first course on abelian varieties or as a reference for students in algebraic geometry, number theory, and related fields. This hardcover edition provides an accessible introduction to a central area of algebraic geometry. Key Features: * Comprehensive introduction to abelian varieties. * Focus on geometric constructions over the complex numbers. * Detailed study of Jacobian varieties, abelian surfaces, and more. * Exploration of Fourier-Mukai transform and its applications. * Suitable for graduate students and researchers in algebraic geometry and related fields. Product Summary: Abelian Varieties over the Complex Numbers, Hardcover, English, Herbert Lange, Springer International Publishing AG, 384 pages, First edition, ISBN 9783031444463.
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Explore the rich topic of abelian varieties with this graduate-level textbook. Emphasizing geometric constructions over complex numbers, this book delves into the creation of important abelian varieties and their algebraic cycles. It begins with complex tori and theta functions, naturally progressing to the definition and basic properties of abelian varieties. The moduli space is then introduced and studied, followed by detailed examinations of key examples such as Jacobian varieties, abelian surfaces, and more. The Fourier-Mukai transform is applied to sheaf studies, yielding results on Chow groups and the Hodge conjecture. Suitable for a first course on abelian varieties or as a reference for students in algebraic geometry, number theory, and related fields. This hardcover edition provides an accessible introduction to a central area of algebraic geometry. Key Features: * Comprehensive introduction to abelian varieties. * Focus on geometric constructions over the complex numbers. * Detailed study of Jacobian varieties, abelian surfaces, and more. * Exploration of Fourier-Mukai transform and its applications. * Suitable for graduate students and researchers in algebraic geometry and related fields. Product Summary: Abelian Varieties over the Complex Numbers, Hardcover, English, Herbert Lange, Springer International Publishing AG, 384 pages, First edition, ISBN 9783031444463.
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