This book, titled "Complex Abelian Varieties," is part of the "Grundlehren der mathematischen Wissenschaften" series and is edited by Herbert Lange and Christina Birkenhake. It provides a comprehensive study of complex Abelian varieties, covering topics such as complex tori, line bundles, cohomology, polarized Abelian varieties, endomorphisms, theta and Heisenberg groups, equations for Abelian varieties, moduli spaces, and specific types of Abelian varieties like Abelian surfaces, Jacobian varieties, and Prym varieties. The book includes detailed chapters on each topic, along with exercises and an appendix that covers algebraic varieties, complex analytic spaces, line bundles, and factors of automorphy. It is published by Springer-Verlag Berlin Heidelberg GmbH and is available in both hardcover and eBook formats.This book, titled "Complex Abelian Varieties," is part of the "Grundlehren der mathematischen Wissenschaften" series and is edited by Herbert Lange and Christina Birkenhake. It provides a comprehensive study of complex Abelian varieties, covering topics such as complex tori, line bundles, cohomology, polarized Abelian varieties, endomorphisms, theta and Heisenberg groups, equations for Abelian varieties, moduli spaces, and specific types of Abelian varieties like Abelian surfaces, Jacobian varieties, and Prym varieties. The book includes detailed chapters on each topic, along with exercises and an appendix that covers algebraic varieties, complex analytic spaces, line bundles, and factors of automorphy. It is published by Springer-Verlag Berlin Heidelberg GmbH and is available in both hardcover and eBook formats.