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標(biāo)題: Titlebook: Elliptic Curves and Arithmetic Invariants; Haruzo Hida Book 2013 Springer Science+Business Media New York 2013 Hecke algebra.Shimura varie [打印本頁(yè)]

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作者: 補(bǔ)助    時(shí)間: 2025-3-21 20:41

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Elliptic Curves and Modular Forms,We now describe basics of elliptic curves and modular curves in three steps:
作者: Collar    時(shí)間: 2025-3-23 04:01

作者: 細(xì)微的差異    時(shí)間: 2025-3-23 07:35
Nonvanishing Modulo , of Hecke ,-Values,We return to the setting of Sect. 6.4; thus, . with discriminant ? . is an imaginary quadratic field in which the fixed prime (.) splits into a product of two primes . with ..
作者: confide    時(shí)間: 2025-3-23 11:50
,-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.
作者: 異教徒    時(shí)間: 2025-3-23 15:19
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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Erste Schritte zur Infinitesimalrechnung,er and finer, give rise to a tower of varieties. This tower has a strikingly big automorphism group, which can be described by an adele group of an algebraic group. Such a tower with a big adelic automorphism group is called a Shimura variety (of PEL type; see (PAF)) because Shimura was the first to
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作者: 轉(zhuǎn)折點(diǎn)    時(shí)間: 2025-3-25 20:02
,Dreieck mit ganzzahligen Seiten und H?hen,ce the Shimura variety is a tower of varieties fundamental to the number-theoretic study of automorphic forms. If the reader is familiar with the subject, he or she can take a brief look at the content of this chapter and go directly to Chap.6.
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作者: ACME    時(shí)間: 2025-3-26 06:36
Mathematik semantologisch verstehentions 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.
作者: Goblet-Cells    時(shí)間: 2025-3-26 09:24
,Mathematiker im fremden Gel?uf,simplest example of Shimura varieties in the following chapters. For some others, we give full proofs here, possibly assuming simplifying assumptions (and we refer to quoted research articles about the author’s proofs in more general cases).
作者: 平躺    時(shí)間: 2025-3-26 14:37
https://doi.org/10.1007/978-3-642-60222-1 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 ..
作者: 自傳    時(shí)間: 2025-3-26 18:37
Erste Schritte zur Infinitesimalrechnung, realize that the symmetry given by well-described automorphisms is essential in studying arithmetic problems and automorphic forms defined over the variety (see (Sh4) and his earlier papers quoted there, including (Sh2)).
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作者: nitric-oxide    時(shí)間: 2025-3-27 03:13
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.
作者: 饒舌的人    時(shí)間: 2025-3-27 06:46

作者: Reclaim    時(shí)間: 2025-3-27 09:57
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 ..
作者: 闡明    時(shí)間: 2025-3-27 15:12

作者: 間接    時(shí)間: 2025-3-27 21:38
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.
作者: AROMA    時(shí)間: 2025-3-28 01:11

作者: 具體    時(shí)間: 2025-3-28 04:04
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
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作者: 灰姑娘    時(shí)間: 2025-3-28 14:21
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
作者: 壁畫    時(shí)間: 2025-3-28 15:20
Modular Curves as Shimura Variety,er and finer, give rise to a tower of varieties. This tower has a strikingly big automorphism group, which can be described by an adele group of an algebraic group. Such a tower with a big adelic automorphism group is called a Shimura variety (of PEL type; see (PAF)) because Shimura was the first to
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Adan S. Salman,Ammar S. Salman,Odai S. Salman at the classroom and school levels. By documenting these accounts and linking them to student learning outcomes, the school will lead the way in providing possible models for the seamless and pervasive integration of informati978-94-6209-086-6
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https://doi.org/10.1007/978-3-658-42036-9his definition of a creole, showing that it is in some ways problematic. Through case studies of a range of creoles with different histories, we will be able to see that creoles actually form a fairly diverse group.
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Radiation in a Cloudy Atmosphere978-94-009-6443-3Series ISSN 1383-8601 Series E-ISSN 2215-162X
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