Shimura Varieties Books
Books con argomento Shimura Varieties
The Gross-Zagier Formula on Shimura Curves
Yuan Xinyi
Zhang Shou-Wu
Zhang Wei
edizioni Princeton Univ Pr collana Princeton Univ Pr (Paperback) , 2012
This comprehensive account of the Gross-Zagier formula on Shimura curves over totally real fields relates the heights of Heegner points on abelian varieties to the derivatives of L-series. The formula will have new applications for the Birch and Swinnerton-Dyer conjecture and Diophantine equations. The book begins...
P-Adic Automorphic Forms on Shimura Varieties
Hida Haruzo
edizioni Springer Verlag collana Springer Verlag (Hardcover) , 2004
This book covers the following three topics in a manner accessible to graduate students who have an understanding of algebraic number theory and scheme theoretic algebraic geometry:1. An elementary construction of Shimura varieties as moduli of abelian schemes2. p-adic deformation theory of automorphic forms on Shimura...