Elliptic Curves and Arithmetic Invariants

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Focusing on Shimura varieties, this book delves into significant topics such as arithmetic invariants, special values of L-functions, and the study of elliptic curves across complex and p-adic fields. It also explores Hecke algebras and the intricate relationships between elliptic and modular curves over rings, providing a comprehensive introduction to these advanced concepts in algebraic geometry and number theory.