Titlebook: Elliptic Curves and Arithmetic Invariants; Haruzo Hida Book 2013 Springer Science+Business Media New York 2013 Hecke algebra.Shimura varie

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,-Adic Hecke ,-Functions and Their ,-Invariants,We first recall the construction of .-adic Hecke .-functions. We follow Katz [K2] and [HT2], which covers general CM fields also.

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Toric Subschemes in a Split Formal Torus,In this chapter, we prove a rigidity result of C.-L. Chai, which generalizes earlier lemmas (for example, Lemma 3.12). After proving the result, we gather facts from commutative/noncommutative/Lie algebra theory used in the proof.

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Haruzo HidaContains top-notch research that will interest both experts and advanced graduate students.Written by an expert renowned for his discovery that modular forms fall into families, otherwise known as "Hi

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978-1-4899-9092-1Springer Science+Business Media New York 2013

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