Galois cohomology of elliptic curves:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge
Cambridge Univ. Press
2000
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| Series: | Tata Institute of Fundamental Research lectures on mathematics and physics
Mathematics ; 88 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 100 S. |
| ISBN: | 8173192936 |
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MARC
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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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| any_adam_object | 1 |
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| building | Verbundindex |
| bvnumber | BV013873811 |
| classification_rvk | SK 180 |
| ctrlnum | (OCoLC)634075978 (DE-599)BVBBV013873811 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV013873811 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:53:34Z |
| institution | BVB |
| isbn | 8173192936 |
| language | English |
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| oclc_num | 634075978 |
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| physical | IX, 100 S. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series | Tata Institute of Fundamental Research lectures on mathematics and physics |
| series2 | Tata Institute of Fundamental Research lectures on mathematics and physics : Mathematics |
| spelling | Coates, J. Verfasser aut Galois cohomology of elliptic curves J. Coates ; R. Sujatha Cambridge Cambridge Univ. Press 2000 IX, 100 S. txt rdacontent n rdamedia nc rdacarrier Tata Institute of Fundamental Research lectures on mathematics and physics : Mathematics 88 Elliptische Kurve (DE-588)4014487-2 gnd rswk-swf Galois-Kohomologie (DE-588)4019172-2 gnd rswk-swf Elliptische Kurve (DE-588)4014487-2 s Galois-Kohomologie (DE-588)4019172-2 s DE-604 Sujatha, R. Verfasser aut Tata Institute of Fundamental Research lectures on mathematics and physics Mathematics ; 88 (DE-604)BV000015654 88 GBV Datenaustausch application/pdf 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 Inhaltsverzeichnis |
| 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 |
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