Arithmetic on elliptic curves with complex multiplication:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1980
|
| Series: | Lecture notes in mathematics
776 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Hier auch später erschienene, unveränderte Nachdrucke |
| Physical Description: | 95 S. graph. Darst. |
| ISBN: | 3540097430 0387097430 9783540097433 |
Staff View
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| 245 | 1 | 0 | |a Arithmetic on elliptic curves with complex multiplication |c Benedict H. Gross. With an appendix by B. Mazur |
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Record in the Search Index
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| adam_text | Table of Contents
0. Introduction 1
1. Acknowledgements 2
2. Notation and Conventions 3
Chapter 1: The theory of complex multiplication
3. Elliptic curves 4
h. Elliptic curves over I and E 8
5- The analytic theory of complex multiplication 12
6. Elliptic curves over p-adic fields l4
7. £-adic Galois representations .... 17
8. The arithmetic theory of complex multiplication 20
Chapter 2: A classification
9. Curves over H 23
10. Descended curves 29
11. JJ-curves 32
Chapter 3: Local arithmetic
12. A classification over F 34
13. A rational p-isogeny 38
lh. Local invariants and global torsion 42
Chapter k: Global arithmetic
15. Restriction of Scalars 45
16. The U-rank 49
17. The first descent 53
18. A factorization of the L-series 57
19. The sign in the functional equation 60
20. H-curves and modular forms 64
Chapter 5: The H-curve A(p)
21. Periods 67
22. The rank of A(p) 72
23. Global models 80
2U. Computational examples 82
Appendix (by B. Mazur)
25. The cohomology of the Fermat group scheme 87
26. Bibliography 92
27. Index 94
|
| any_adam_object | 1 |
| author | Gross, Benedict H. 1950- |
| author_GND | (DE-588)1077595743 |
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| author_sort | Gross, Benedict H. 1950- |
| author_variant | b h g bh bhg |
| building | Verbundindex |
| bvnumber | BV002262010 |
| callnumber-first | Q - Science |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 850 |
| ctrlnum | (OCoLC)5992230 (DE-599)BVBBV002262010 |
| dewey-full | 510 516.3/5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 516 - Geometry |
| dewey-raw | 510 516.3/5 |
| dewey-search | 510 516.3/5 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV002262010 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:42:59Z |
| institution | BVB |
| isbn | 3540097430 0387097430 9783540097433 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001486529 |
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| physical | 95 S. graph. Darst. |
| publishDate | 1980 |
| publishDateSearch | 1980 |
| publishDateSort | 1980 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Gross, Benedict H. 1950- Verfasser (DE-588)1077595743 aut Arithmetic on elliptic curves with complex multiplication Benedict H. Gross. With an appendix by B. Mazur Berlin [u.a.] Springer 1980 95 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 776 Hier auch später erschienene, unveränderte Nachdrucke Courbes elliptiques Elliptische oppervlakken gtt Getaltheorie gtt Multiplication complexe Curves, Elliptic Multiplication, Complex Kind (DE-588)4030550-8 gnd rswk-swf Jugend (DE-588)4028859-6 gnd rswk-swf Verhaltensstörung (DE-588)4062872-3 gnd rswk-swf Bibliotherapie (DE-588)4112754-7 gnd rswk-swf Komplexe Multiplikation (DE-588)4164903-5 gnd rswk-swf Aggression (DE-588)4000732-7 gnd rswk-swf Elliptische Kurve (DE-588)4014487-2 gnd rswk-swf Elliptische Kurve (DE-588)4014487-2 s Komplexe Multiplikation (DE-588)4164903-5 s DE-604 Jugend (DE-588)4028859-6 s Verhaltensstörung (DE-588)4062872-3 s Aggression (DE-588)4000732-7 s Bibliotherapie (DE-588)4112754-7 s Kind (DE-588)4030550-8 s Lecture notes in mathematics 776 (DE-604)BV000676446 776 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001486529&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gross, Benedict H. 1950- Arithmetic on elliptic curves with complex multiplication Lecture notes in mathematics Courbes elliptiques Elliptische oppervlakken gtt Getaltheorie gtt Multiplication complexe Curves, Elliptic Multiplication, Complex Kind (DE-588)4030550-8 gnd Jugend (DE-588)4028859-6 gnd Verhaltensstörung (DE-588)4062872-3 gnd Bibliotherapie (DE-588)4112754-7 gnd Komplexe Multiplikation (DE-588)4164903-5 gnd Aggression (DE-588)4000732-7 gnd Elliptische Kurve (DE-588)4014487-2 gnd |
| subject_GND | (DE-588)4030550-8 (DE-588)4028859-6 (DE-588)4062872-3 (DE-588)4112754-7 (DE-588)4164903-5 (DE-588)4000732-7 (DE-588)4014487-2 |
| title | Arithmetic on elliptic curves with complex multiplication |
| title_auth | Arithmetic on elliptic curves with complex multiplication |
| title_exact_search | Arithmetic on elliptic curves with complex multiplication |
| title_full | Arithmetic on elliptic curves with complex multiplication Benedict H. Gross. With an appendix by B. Mazur |
| title_fullStr | Arithmetic on elliptic curves with complex multiplication Benedict H. Gross. With an appendix by B. Mazur |
| title_full_unstemmed | Arithmetic on elliptic curves with complex multiplication Benedict H. Gross. With an appendix by B. Mazur |
| title_short | Arithmetic on elliptic curves with complex multiplication |
| title_sort | arithmetic on elliptic curves with complex multiplication |
| topic | Courbes elliptiques Elliptische oppervlakken gtt Getaltheorie gtt Multiplication complexe Curves, Elliptic Multiplication, Complex Kind (DE-588)4030550-8 gnd Jugend (DE-588)4028859-6 gnd Verhaltensstörung (DE-588)4062872-3 gnd Bibliotherapie (DE-588)4112754-7 gnd Komplexe Multiplikation (DE-588)4164903-5 gnd Aggression (DE-588)4000732-7 gnd Elliptische Kurve (DE-588)4014487-2 gnd |
| topic_facet | Courbes elliptiques Elliptische oppervlakken Getaltheorie Multiplication complexe Curves, Elliptic Multiplication, Complex Kind Jugend Verhaltensstörung Bibliotherapie Komplexe Multiplikation Aggression Elliptische Kurve |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001486529&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT grossbenedicth arithmeticonellipticcurveswithcomplexmultiplication |