Modular Forms and Special Cycles on Shimura Curves

Explore the intricate world of arithmetic geometry with Modular Forms and Special Cycles on Shimura Curves by Stephen S. Kudla. Published by Princeton University Press in 2006, this comprehensive volume spans 392 pages and delves into the fascinating generating functions derived from special cycles, including both divisors and zero-cycles, on the arithmetic surface "M" associated with a Shimura curve over the field of rational numbers. This book is an essential resource for scholars and enthusiasts of arithmetical algebraic geometry and Shimura varieties, offering deep insights and rigorous analysis. Perfect for anyone looking to deepen their understanding of these complex mathematical structures, Kudla's work is a must-have addition to your academic library. Discover the beauty of modular forms and their applications in modern mathematics.