| 000 | 02628nam a22004815i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-44475-6 | ||
| 003 | DE-He213 | ||
| 005 | 20190213151435.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 121227s2004 gw | s |||| 0|eng d | ||
| 020 |
_a9783540444756 _9978-3-540-44475-6 |
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| 024 | 7 |
_a10.1007/b98488 _2doi |
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| 050 | 4 | _aQA241-247.5 | |
| 072 | 7 |
_aPBH _2bicssc |
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_aMAT022000 _2bisacsh |
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| 072 | 7 |
_aPBH _2thema |
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| 082 | 0 | 4 |
_a512.7 _223 |
| 100 | 1 |
_aBrown, Martin L. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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| 245 | 1 | 0 |
_aHeegner Modules and Elliptic Curves _h[electronic resource] / _cby Martin L. Brown. |
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2004. |
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| 300 |
_aX, 518 p. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1849 |
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| 505 | 0 | _aPreface -- Introduction -- Preliminaries -- Bruhat-Tits trees with complex multiplication -- Heegner sheaves -- The Heegner module -- Cohomology of the Heegner module -- Finiteness of the Tate-Shafarevich groups -- Appendix A.: Rigid analytic modular forms -- Appendix B.: Automorphic forms and elliptic curves over function fields -- References -- Index. | |
| 520 | _aHeegner points on both modular curves and elliptic curves over global fields of any characteristic form the topic of this research monograph. The Heegner module of an elliptic curve is an original concept introduced in this text. The computation of the cohomology of the Heegner module is the main technical result and is applied to prove the Tate conjecture for a class of elliptic surfaces over finite fields; this conjecture is equivalent to the Birch and Swinnerton-Dyer conjecture for the corresponding elliptic curves over global fields. | ||
| 650 | 0 | _aNumber theory. | |
| 650 | 0 | _aGeometry, algebraic. | |
| 650 | 1 | 4 |
_aNumber Theory. _0http://scigraph.springernature.com/things/product-market-codes/M25001 |
| 650 | 2 | 4 |
_aAlgebraic Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M11019 |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540222903 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783662209325 |
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1849 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/b98488 |
| 912 | _aZDB-2-SMA | ||
| 912 | _aZDB-2-LNM | ||
| 912 | _aZDB-2-BAE | ||
| 999 |
_c10680 _d10680 |
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