Notorious
发表于 2025-3-27 00:21:08
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nitric-oxide
发表于 2025-3-27 03:13:11
Nontriviality of Arithmetic Invariants,tions and motives. Number theorists all agree that .-functions and .-values are useful invariants for studying the object with number-theoretic goals in mind. From .-functions, number theorists have created more invariants, for example, .- and .-invariant from .-adic .-functions and the .-invariant from exceptional zeros of .-adic .-functions.
饶舌的人
发表于 2025-3-27 06:46:09
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Reclaim
发表于 2025-3-27 09:57:11
Review of Scheme Theory, necessary to describe elliptic curves and modular forms. Group schemes are best understood from the functorial viewpoint of scheme theory, regarding a scheme as a functor from the category of algebras to sets taking each algebra . to the set of .-rational points .(.) of the scheme ..
阐明
发表于 2025-3-27 15:12:56
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间接
发表于 2025-3-27 21:38:12
Book 2013urce for experts in the field, but it is also accessible to advanced graduate students studying number theory. Key topics include non-triviality of arithmetic invariants and special values of .L.-functions; elliptic curves over complex and .p.-adic fields; Hecke algebras; scheme theory; elliptic and modular curves over rings; and Shimura curves.
AROMA
发表于 2025-3-28 01:11:40
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具体
发表于 2025-3-28 04:04:33
Invariants, Shimura Variety, and Hecke Algebra,ptic curves in an elementary manner in Chap.2, at least we could illustrate our main objectives in this book with a rough outline of their proofs. Detailed proofs (for some of them) will be given after we become equipped with a scheme-theoretic description of elliptic curves and their moduli as the
剥削
发表于 2025-3-28 09:23:44
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灰姑娘
发表于 2025-3-28 14:21:40
Geometry of Variety, is to make the book logically complete, and another is to give the foundation of the theory of towers of varieties in the language of proschemes, since the Shimura variety is a tower of varieties fundamental to the number-theoretic study of automorphic forms. If the reader is familiar with the subj