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Galois cohomology of elliptic curves:

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Bibliographic Details
Main Authors:	Coates, J. (Author), Sujatha, R. (Author)
Format:	Book
Language:	English
Published:	Cambridge Cambridge Univ. Press 2000
Series:	Tata Institute of Fundamental Research lectures on mathematics and physics Mathematics ; 88
Subjects:	Elliptische Kurve Galois-Kohomologie
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009490689&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Physical Description:	IX, 100 S.
ISBN:	8173192936

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Record in the Search Index

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adam_text	GALOIS COHOMOLOGY OF ELLIPTIC CURVES J. COATES R. SUJATHA PUBLISHED FOR THE TATA INSTITUTE OF FUNDAMENTAL RESEARCH NAROSA PUBLISHING HOUSE NEW DELHI CHENNAI MUMBAI CALCUTTA LONDON INTERNATIONAL DISTRIBUTION BY AMERICAN MATHEMATICAL SOCIETY CONTENTS PREFACE VII NOTATION 1 1 BASIC RESULTS FROM GALOIS COHOMOLOGY 3 PRELIMINARY RESULTS 3 POITOU-TATE SEQUENCE 5 CASSELS-POITOU-TATE SEQUENCE 7 CASSELS-POITOU-TATE SEQUENCE FOR ELLIPTIC CURVES 9 2 THE IWASAWA THEORY OF THE SELMER GROUP 16 INTRODUCTION 16 THE FUNDAMENTAL DIAGRAM 18 CYCLOTOMIC THEORY 19 THE DIVISION FIELD CASE 26 3 THE EULER CHARACTERISTIC FORMULA 29 INTRODUCTION 29 CYCLOTOMIC THEORY 30 THE DIVISION FIELD CASE * * * * 44 4 NUMERICAL EXAMPLES OVER THE CYCLOTOMIC Z P -EXTENSION OF Q 48 INTRODUCTION 48 IWASAWA THEORY OVER QQO FOR THE CURVES OF CONDUCTOR 11 .51 IWASAWA THEORY OVER QOO FOR THE CURVES OF CONDUCTOR 294 . 57 5 NUMERICAL EXAMPLES OVER Q(/X P O) 61 INTRODUCTION 61 GENERAL STRATEGY FOR THE CURVES OF CONDUCTOR 11 OVER Q(/I5) 62 THE CURVE AQ 65 THE CURVE A 2 72 INFINITE DESCENT ON AI OVER Q(/^5) 72 THE CURVES OF CONDUCTOR 294 OVER Q(/Z7 ) 81 APPENDIX 84 STRUCTURE THEORY OF IWASAWA MODULES 84 DEEPLY RAMIFIED P-ADIC FIELDS AND CYCLOTOMIC EXTENSIONS . . 88 TATE PARAMETRIZATION OF ELLIPTIC CURVES 94 MULTIPLICATIVE KUMMER GENERATORS 95 BIBLIOGRAPHY 97 IX
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indexdate	2024-12-20T10:55:02Z
institution	BVB
isbn	8173192936
language	English
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owner	DE-355 DE-BY-UBR
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physical	IX, 100 S.
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publisher	Cambridge Univ. Press
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series	Tata Institute of Fundamental Research lectures on mathematics and physics
series2	Tata Institute of Fundamental Research lectures on mathematics and physics : Mathematics
spellingShingle	Coates, J. Sujatha, R. Galois cohomology of elliptic curves Tata Institute of Fundamental Research lectures on mathematics and physics Elliptische Kurve (DE-588)4014487-2 gnd Galois-Kohomologie (DE-588)4019172-2 gnd
subject_GND	(DE-588)4014487-2 (DE-588)4019172-2
title	Galois cohomology of elliptic curves
title_auth	Galois cohomology of elliptic curves
title_exact_search	Galois cohomology of elliptic curves
title_full	Galois cohomology of elliptic curves J. Coates ; R. Sujatha
title_fullStr	Galois cohomology of elliptic curves J. Coates ; R. Sujatha
title_full_unstemmed	Galois cohomology of elliptic curves J. Coates ; R. Sujatha
title_short	Galois cohomology of elliptic curves
title_sort	galois cohomology of elliptic curves
topic	Elliptische Kurve (DE-588)4014487-2 gnd Galois-Kohomologie (DE-588)4019172-2 gnd
topic_facet	Elliptische Kurve Galois-Kohomologie
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009490689&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000015654
work_keys_str_mv	AT coatesj galoiscohomologyofellipticcurves AT sujathar galoiscohomologyofellipticcurves

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