000 | 02850nam a22004935i 4500 | ||
---|---|---|---|
001 | 978-3-540-48208-6 | ||
003 | DE-He213 | ||
005 | 20190213151629.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1993 gw | s |||| 0|eng d | ||
020 |
_a9783540482086 _9978-3-540-48208-6 |
||
024 | 7 |
_a10.1007/978-3-540-48208-6 _2doi |
|
050 | 4 | _aQA241-247.5 | |
072 | 7 |
_aPBH _2bicssc |
|
072 | 7 |
_aMAT022000 _2bisacsh |
|
072 | 7 |
_aPBH _2thema |
|
082 | 0 | 4 |
_a512.7 _223 |
245 | 1 | 0 |
_aDiophantine Approximation and Abelian Varieties _h[electronic resource] / _cedited by Bas Edixhoven, Jan-Hendrik Evertse. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1993. |
|
300 |
_aXIV, 130 p. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
||
337 |
_acomputer _bc _2rdamedia |
||
338 |
_aonline resource _bcr _2rdacarrier |
||
347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1566 |
|
505 | 0 | _aDiophantine Equations and Approximation -- Diophantine Approximation and its Applications -- Roth’s Theorem -- The Subspace Theorem of W.M. Schmidt -- Heights on Abelian Varieties -- D. Mumford’s “A Remark on Mordell’s Conjecture” -- Ample Line Bundles and Intersection Theory -- The Product Theorem -- Geometric Part of Faltings’s Proof -- Faltings’s Version of Siegel’s Lemma -- Arithmetic Part of Faltings’s Proof -- Points of Degree d on Curves over Number Fields -- “The” General Case of S. Lang’s Conjecture (after Faltings). | |
520 | _aThe 13 chapters of this book centre around the proof of Theorem 1 of Faltings' paper "Diophantine approximation on abelian varieties", Ann. Math.133 (1991) and together give an approach to the proof that is accessible to Ph.D-level students in number theory and algebraic geometry. Each chapter is based on an instructional lecture given by its author ata special conference for graduate students, on the topic of Faltings' paper. | ||
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 |
700 | 1 |
_aEdixhoven, Bas. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
|
700 | 1 |
_aEvertse, Jan-Hendrik. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662179031 |
776 | 0 | 8 |
_iPrinted edition: _z9783540575283 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1566 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-540-48208-6 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c11337 _d11337 |