Holdings: Algebraic numbers and algebraic functions

Algebraic numbers and algebraic functions:

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Bibliographic Details
Main Author:	Cohn, Paul M. 1924-2006 (Author)
Format:	Book
Language:	English
Published:	London u.a. Chapman & Hall 1991
Edition:	1. ed.
Subjects:	Algebraïsche functies Algebraïsche getallen Fonctions algébriques Nombres algébriques, Théorie des Algebraic fields Algebraic functions Algebraische Zahl Algebraische Funktionentheorie Algebraische Zahlentheorie Algebraische Funktion
Online Access:	Inhaltsverzeichnis
Physical Description:	XII, 192 S.
ISBN:	0412361906

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MARC


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adam_text	Contents Preface vii Notes to the reader ix Introduction xi 1 Fields with valuations 1.1 Absolute values 1 1.2 The topology defined by an absolute value 6 1.3 Complete fields 11 1.4 Valuations, valuation rings and places 18 1.5 The representation by power series 27 1.6 Ordered groups 31 1.7 General valuations 37 2 Extensions 2.1 Generalities on extensions 43 2.2 Extensions of complete fields 46 2.3 Extensions of incomplete fields 54 2.4 Dedekind domains and the strong approximation theorem 58 2.5 Extensions of Dedekind domains 67 2.6 Different and discriminant 72 3 Global fields 3.1 Algebraic number fields 83 3.2 The product formula 91 3.3 The unit theorem 100 3.4 The class number 106 4 Function fields 4.1 Divisors on a function field 109 4.2 Principal divisors and the divisor class group 118 4.3 Riemann s theorem and the specialty index 125 vi Contents 4.4 The genus 129 4.5 Derivations and differentials 135 4.6 The Riemann Roch theorem and its consequences 144 4.7 Elliptic function fields 155 4.8 Abelian integrals and the Abel Jacobi theorem 167 5 Algebraic function fields in two variables 5.1 Valuations on function fields of two variables 176 Bibliography 183 Table of notations 187 Index 189
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author	Cohn, Paul M. 1924-2006
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illustrated	Not Illustrated
indexdate	2024-07-09T16:16:57Z
institution	BVB
isbn	0412361906
language	English
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physical	XII, 192 S.
publishDate	1991
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publisher	Chapman & Hall
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spelling	Cohn, Paul M. 1924-2006 Verfasser (DE-588)121230538 aut Algebraic numbers and algebraic functions P. M. Cohn 1. ed. London u.a. Chapman & Hall 1991 XII, 192 S. txt rdacontent n rdamedia nc rdacarrier Algebraïsche functies gtt Algebraïsche getallen gtt Fonctions algébriques ram Nombres algébriques, Théorie des ram Algebraic fields Algebraic functions Algebraische Zahl (DE-588)4141847-5 gnd rswk-swf Algebraische Funktionentheorie (DE-588)4141837-2 gnd rswk-swf Algebraische Zahlentheorie (DE-588)4001170-7 gnd rswk-swf Algebraische Funktion (DE-588)4141836-0 gnd rswk-swf Algebraische Zahl (DE-588)4141847-5 s DE-604 Algebraische Funktion (DE-588)4141836-0 s Algebraische Zahlentheorie (DE-588)4001170-7 s DE-188 Algebraische Funktionentheorie (DE-588)4141837-2 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002915024&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Cohn, Paul M. 1924-2006 Algebraic numbers and algebraic functions Algebraïsche functies gtt Algebraïsche getallen gtt Fonctions algébriques ram Nombres algébriques, Théorie des ram Algebraic fields Algebraic functions Algebraische Zahl (DE-588)4141847-5 gnd Algebraische Funktionentheorie (DE-588)4141837-2 gnd Algebraische Zahlentheorie (DE-588)4001170-7 gnd Algebraische Funktion (DE-588)4141836-0 gnd
subject_GND	(DE-588)4141847-5 (DE-588)4141837-2 (DE-588)4001170-7 (DE-588)4141836-0
title	Algebraic numbers and algebraic functions
title_auth	Algebraic numbers and algebraic functions
title_exact_search	Algebraic numbers and algebraic functions
title_full	Algebraic numbers and algebraic functions P. M. Cohn
title_fullStr	Algebraic numbers and algebraic functions P. M. Cohn
title_full_unstemmed	Algebraic numbers and algebraic functions P. M. Cohn
title_short	Algebraic numbers and algebraic functions
title_sort	algebraic numbers and algebraic functions
topic	Algebraïsche functies gtt Algebraïsche getallen gtt Fonctions algébriques ram Nombres algébriques, Théorie des ram Algebraic fields Algebraic functions Algebraische Zahl (DE-588)4141847-5 gnd Algebraische Funktionentheorie (DE-588)4141837-2 gnd Algebraische Zahlentheorie (DE-588)4001170-7 gnd Algebraische Funktion (DE-588)4141836-0 gnd
topic_facet	Algebraïsche functies Algebraïsche getallen Fonctions algébriques Nombres algébriques, Théorie des Algebraic fields Algebraic functions Algebraische Zahl Algebraische Funktionentheorie Algebraische Zahlentheorie Algebraische Funktion
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002915024&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT cohnpaulm algebraicnumbersandalgebraicfunctions

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