| 000 | 02281nam a22003618i 4500 | ||
|---|---|---|---|
| 001 | CR9780511721281 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160239.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 100303s2008||||enk o ||1 0|eng|d | ||
| 020 | _a9780511721281 (ebook) | ||
| 020 | _z9780521728669 (paperback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
||
| 050 | 0 | 0 |
_aQA567.2.E44 _bD36 2008 |
| 082 | 0 | 0 |
_a516.3/52 _222 |
| 100 | 1 |
_aDelbourgo, Daniel, _eauthor. |
|
| 245 | 1 | 0 |
_aElliptic curves and big Galois representations / _cDaniel Delbourgo. |
| 246 | 3 | _aElliptic Curves & Big Galois Representations | |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2008. |
|
| 300 |
_a1 online resource (ix, 281 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 490 | 1 |
_aLondon Mathematical Society lecture note series ; _v356 |
|
| 500 | _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 520 | _aThe arithmetic properties of modular forms and elliptic curves 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. Finiteness results for big Selmer groups are then established. Finally, at weight two, the arithmetic invariants of these Selmer groups allow the control of data from the BSD conjecture. As the first book on the subject, the material is introduced from scratch; both graduate students and professional number theorists will find this an ideal introduction. Material at the very forefront of current research is included, and numerical examples encourage the reader to interpret abstract theorems in concrete cases. | ||
| 650 | 0 | _aCurves, Elliptic. | |
| 650 | 0 | _aGalois theory. | |
| 776 | 0 | 8 |
_iPrint version: _z9780521728669 |
| 830 | 0 |
_aLondon Mathematical Society lecture note series ; _v356. |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9780511721281 |
| 999 |
_c518361 _d518359 |
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