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Field arithmetic.(3rd ed., rev.) / Jarden, Moshe

Tác giả : Jarden, Moshe

Nhà xuất bản : Springer

Năm xuất bản : 2008

Mô tả vật lý : 815 p.

Số phân loại : 512.3

Chủ đề : 1. Algebraic fields. 2. Algebraic number theory ; Algebraic fields ; Algebraic number theory.. 3. Book.

Thông tin chi tiết

Tóm tắt :

Infinite Galois Theory and profinite groups -- Valuations and linear disjointness -- Algebraic function fields of one variable -- The Riemann hypothesis for function fields -- Plane curves -- The Chebotarev density theorem -- Ultraproducts -- Decision procedures -- Algebraically closed fields -- Elements of algebraic geometry -- Pseudo algebraically closed fields -- Hilbertian fields -- The classical Hilbertian fields -- Nonstandard structures -- Nonstandard approach to Hilbert's irreducibility theorm -- Galois groups over Hilbertian fields -- Free profinite groups -- The Haar measure -- Effective field theory and algebraic geometry -- The elementary theory of e-Free PAC fields -- Problems of arithmetical geometry -- Projective groups and Frattini covers -- PAC fields and projective absolute Galois groups -- Frobenius fields -- Free profinite groups of infinite rank -- Random elements in free profinite groups -- Omega-free PAC fields -- Undecidability -- Algebraically closed fields with distinguished automorphisms -- Galois satisfaction -- Galois stratification over finite fields -- Problems of field arithmetic

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https://repository.vnu.edu.vn/handle/VNU_123/31732