MARC details
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06596cam a2200865 a 4500 |
| 001 - CONTROL NUMBER |
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ocn836848758 |
| 003 - CONTROL NUMBER IDENTIFIER |
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OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20220711194907.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION |
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m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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cr cnu---unuuu |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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130408s2008 enka ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
N$T |
| Language of cataloging |
eng |
| Description conventions |
pn |
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N$T |
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E7B |
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IDEBK |
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OCLCF |
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YDXCP |
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UUS |
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MERUC |
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DEBSZ |
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OL$ |
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OCLCO |
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OCLCQ |
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S8J |
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OCLCO |
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LUN |
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AJS |
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OCLCO |
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OCLCQ |
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OCLCO |
| 019 ## - |
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704518046 |
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776967037 |
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843203457 |
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1167332240 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781107363069 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
1107363063 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780511894046 |
| Qualifying information |
(e-book) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
051189404X |
| Qualifying information |
(e-book) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780511721281 |
| Qualifying information |
(ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
0511721285 |
| Qualifying information |
(ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781107367975 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
1107367972 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Cancelled/invalid ISBN |
9780521728669 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Cancelled/invalid ISBN |
0521728665 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
AU@ |
| System control number |
000055884077 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
DEBSZ |
| System control number |
382457595 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(OCoLC)836848758 |
| Canceled/invalid control number |
(OCoLC)704518046 |
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(OCoLC)776967037 |
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(OCoLC)843203457 |
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(OCoLC)1167332240 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA567.2.E44 |
| Item number |
D36 2008eb |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
MAT |
| Subject category code subdivision |
012010 |
| Source |
bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
516.3/52 |
| Edition number |
22 |
| 084 ## - OTHER CLASSIFICATION NUMBER |
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| Classification number |
SI 320 |
| Source of number |
rvk |
| 084 ## - OTHER CLASSIFICATION NUMBER |
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| Classification number |
SK 200 |
| Source of number |
rvk |
| 084 ## - OTHER CLASSIFICATION NUMBER |
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| Classification number |
SK 180 |
| Source of number |
rvk |
| 084 ## - OTHER CLASSIFICATION NUMBER |
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| Classification number |
MAT 145f |
| Source of number |
stub |
| 084 ## - OTHER CLASSIFICATION NUMBER |
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| Classification number |
MAT 143f |
| Source of number |
stub |
| 049 ## - LOCAL HOLDINGS (OCLC) |
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| Holding library |
MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Delbourgo, Daniel. |
| 9 (RLIN) |
937359 |
| 245 10 - TITLE STATEMENT |
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| Title |
Elliptic curves and big Galois representations / |
| Statement of responsibility, etc |
Daniel Delbourgo. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Cambridge, UK ; |
| -- |
New York : |
| Name of publisher, distributor, etc |
Cambridge University Press, |
| Date of publication, distribution, etc |
2008. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
1 online resource (ix, 281 pages) : |
| Other physical details |
illustrations |
| 336 ## - |
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text |
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txt |
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rdacontent |
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computer |
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c |
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rdamedia |
| 338 ## - |
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online resource |
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cr |
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rdacarrier |
| 490 1# - SERIES STATEMENT |
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| Series statement |
London Mathematical Society lecture note series ; |
| Volume number/sequential designation |
356 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references (pages 275-279) and index. |
| 520 1# - SUMMARY, ETC. |
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| Summary, etc |
"The mysterious properties of modular forms lie at the heart of modern number theory. This book develops a generalisation of the method of Euler systems to a two-variable deformation ring. The resulting theory is then used to study the arithmetic of elliptic curves, in particular the Birch and Swinnerton-Dyer (BSD) formula." "Three main steps are outlined. The first is to parametrise 'big' cohomology groups using (deformations of) modular symbols. One can then establish finiteness results for big Selmer groups. Finally, at weight two, the arithmetic invariants of these Selmer groups allow the control of data from the BSD conjecture." "This is the first book on the subject, and the material is introduced from scratch; both graduate students and professional number theorists will find this an ideal introduction to the subject. Material at the very forefront of current research is included, and numerical examples encourage the reader to interpret abstract theorems in concrete cases."--Jacket |
| 588 0# - |
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Print version record. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Cover; Title; Copyright; Dedication; Contents; Introduction; List of Notations; Chapter I Background; 1.1 Elliptic curves; 1.2 Hasse-Weil L-functions; 1.3 Structure of the Mordell-Weil group; 1.4 The conjectures of Birch and Swinnerton-Dyer; 1.5 Modular forms and Hecke algebras; Chapter II p-Adic L-functions and Zeta Elements; 2.1 The p-adic Birch and Swinnerton-Dyer conjecture; 2.2 Perrin-Riou's local Iwasawa theory; 2.3 Integrality and (z, D)-modules; 2.4 Norm relations in K-theory; 2.5 Kato's p-adic zeta-elements; Chapter III Cyclotomic Deformations of Modular Symbols; 3.1 Q-continuity. |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
3.2 Cohomological subspaces of Euler systems3.3 The one-variable interpolation; 3.4 Local freeness of the image; Chapter IV A User's Guide to Hida Theory; 4.1 The universal ordinary Galois representation; 4.2 N-adic modular forms; 4.3 Multiplicity one for I-adic modular symbols; 4.4 Two-variable p-adic L-functions; Chapter V Crystalline Weight Deformations; 5.1 Cohomologies over deformation rings; 5.2 p-Ordinary deformations of Bcris and Dcris; 5.3 Constructing big dual exponentials; 5.4 Local dualities; Chapter VI Super Zeta-Elements; 6.1 The R-adic version of Kato's theorem. |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
6.2 A two-variable interpolation6.3 Applications to Iwasawa theory; 6.4 The Coleman exact sequence; 6.5 Computing the R[[D]]-torsion; Chapter VII Vertical and Half-Twisted Arithmetic; 7.1 Big Selmer groups; 7.2 The fundamental commutative diagrams; 7.3 Control theory for Selmer coranks; Chapter VIII Diamond-Euler Characteristics: the Local Case; 8.1 Analytic rank zero; 8.2 The Tamagawa factors away from p; 8.3 The Tamagawa factors above p (the vertical case); 8.4 The Tamagawa factors above p (the half-twisted case); 8.5 Evaluating the covolumes. |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
10.6 Numerical examples, open problemsAppendices; A: The Primitivity of Zeta Elements; B: Specialising the Universal Path Vector; C: The Weight-Variable Control Theorem (by Paul A. Smith); C.1 Notation and assumptions; C.2 Properties of affinoids; C.3 The cohomology of a lattice L; C.4 Local conditions; C.5 Dualities via the Ext-pairings; C.6 Controlling the Selmer groups; Bibliography; Index. |
| 590 ## - LOCAL NOTE (RLIN) |
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| Local note |
eBooks on EBSCOhost |
| Provenance (VM) [OBSOLETE] |
EBSCO eBook Subscription Academic Collection - Worldwide |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Curves, Elliptic. |
| 9 (RLIN) |
162527 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Galois theory. |
| 9 (RLIN) |
288332 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Courbes elliptiques. |
| 9 (RLIN) |
869417 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Théorie de Galois. |
| 9 (RLIN) |
937360 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
MATHEMATICS |
| General subdivision |
Geometry |
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Algebraic. |
| Source of heading or term |
bisacsh |
| 9 (RLIN) |
869419 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Curves, Elliptic. |
| Source of heading or term |
fast |
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(OCoLC)fst00885455 |
| 9 (RLIN) |
162527 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Galois theory. |
| Source of heading or term |
fast |
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(OCoLC)fst00937326 |
| 9 (RLIN) |
288332 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Elliptische Kurve |
| Source of heading or term |
gnd |
| 9 (RLIN) |
937361 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Galois-Darstellung |
| Source of heading or term |
gnd |
| 9 (RLIN) |
937362 |
| 655 #4 - INDEX TERM--GENRE/FORM |
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| Genre/form data or focus term |
Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
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| Display text |
Print version: |
| Main entry heading |
Delbourgo, Daniel. |
| Title |
Elliptic curves and big Galois representations. |
| Place, publisher, and date of publication |
Cambridge, UK ; New York : Cambridge University Press, 2008 |
| International Standard Book Number |
9780521728669 |
| Record control number |
(DLC) 2008021192 |
| -- |
(OCoLC)227275650 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
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| Uniform title |
London Mathematical Society lecture note series ; |
| Volume number/sequential designation |
356. |
| 9 (RLIN) |
144795 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552371">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552371</a> |
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EBSC |
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552371 |
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