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作者 Fried, Michael D., 1942-
書名 Field arithmetic / Michael D. Fried, Moshe Jarden
出版項 Berlin : Springer, c2008
國際標準書號 9783540772699 (hd. bd.)
3540772693 (hd. bd.)
book jacket
版本 3rd ed., rev. / by Moshe Jarden
說明 xxiii, 792 p. : ill. ; 24 cm
系列 Ergebnisse der Mathematik und ihrer Grenzgebiete, 0071-1136 ; 3. Folge, v. 11 = A series of modern surveys in mathematics
Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge, Bd. 11
附註 Includes bibliographical references (p. [761]-779) and index
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
主題 Algebraic fields
Algebraic number theory
Alt Author Jarden, Moshe, 1942-
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