000			02432nam a22003738i 4500
001			CR9780511542879
003			UkCbUP
005			20200124160237.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090505s2006||||enk o ||1 0|eng|d
020			_a9780511542879 (ebook)
020			_z9780521846158 (hardback)
020			_z9780521712293 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA242.5 _b.B66 2006
082	0	4	_a516.35 _222
100	1		_aBombieri, Enrico, _d1940- _eauthor.
245	1	0	_aHeights in diophantine geometry / _cEnrico Bombieri, Walter Gubler.
264		1	_aCambridge : _bCambridge University Press, _c2006.
300			_a1 online resource (xvi, 652 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aNew mathematical monographs ; _v4
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aHeights -- Weil heights -- Linear tori -- Small points -- The unit equation -- Roth's theorem -- The subspace theorem -- Abelian varieties -- Neron-Tate heights -- The Mordell-Weil theorem -- Falting's theorem -- The abc-conjecture -- Nevalinna theory -- The Vojta conjectures.
520			_aDiophantine geometry has been studied by number theorists for thousands of years, since the time of Pythagoras, and has continued to be a rich area of ideas such as Fermat's Last Theorem, and most recently the ABC conjecture. This monograph is a bridge between the classical theory and modern approach via arithmetic geometry. The authors provide a clear path through the subject for graduate students and researchers. They have re-examined many results and much of the literature, and give a thorough account of several topics at a level not seen before in book form. The treatment is largely self-contained, with proofs given in full detail. Many results appear here for the first time. The book concludes with a comprehensive bibliography. It is destined to be a definitive reference on modern diophantine geometry, bringing a new standard of rigor and elegance to the field.
650		0	_aArithmetical algebraic geometry.
700	1		_aGubler, Walter, _eauthor.
776	0	8	_iPrint version: _z9780521846158
830		0	_aNew mathematical monographs ; _v4.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511542879
999			_c518150 _d518148