Springer Complex Abelian Varieties: 302 - Mathematics Book

Expand your mathematical knowledge with Complex Abelian Varieties: 302, part of the prestigious Grundlehren der mathematischen Wissenschaften series. Published by Springer, this second edition provides a deep exploration of the theory of abelian varieties over the field of complex numbers. It bridges the gap between classic foundations and recent developments, presenting complex results in a modern language that is accessible to researchers and students alike. This updated edition is significantly more complete than previous versions. It includes five new chapters covering essential modern topics such as automorphisms, vector bundles on abelian varieties, algebraic cycles, and the Hodge conjecture. Recognized by Olivier Debarre in Mathematical Reviews for its readability and completeness, this text serves as a vital resource for those studying mathematical analysis and advanced algebraic geometry. Whether you are looking to master established theories or catch up on recent mathematical breakthroughs, this volume offers the depth and clarity required for high-level study.