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001 978-3-540-48208-6
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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