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001			308847
003			MX-SnUAN
005			20160429160233.0
007			cr nn 008mamaa
008			150903s2014 ja | o |||| 0|eng d
020			_a9784431545712 _99784431545712
024	7		_a10.1007/9784431545712 _2doi
035			_avtls000363929
039		9	_a201509030642 _bVLOAD _c201405070350 _dVLOAD _y201402211200 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA331-355
100	1		_aNoguchi, Junjiro. _eautor _9348881
245	1	0	_aNevanlinna Theory in Several Complex Variables and Diophantine Approximation / _cby Junjiro Noguchi, Jörg Winkelmann.
264		1	_aTokyo : _bSpringer Japan : _bImprint: Springer, _c2014.
300			_axiv, 416 páginas 6 ilustraciones _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
490	0		_aGrundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, _x0072-7830 ; _v350
500			_aSpringer eBooks
505	0		_aNevanlinna Theory of Meromorphic Functions -- First Main Theorem -- Differentiably Non-Degenerate Meromorphic Maps -- Entire Curves into Algebraic Varieties -- Semi-Abelian Varieties -- Entire Curves into Semi-Abelian Varieties -- Kobayashi Hyperbolicity -- Nevanlinna Theory over Function Fields -- Diophantine Approximation -- Bibliography -- Index -- Symbols.
520			_aThe aim of this book is to provide a comprehensive account of higher dimensional Nevanlinna theory and its relations with Diophantine approximation theory for graduate students and interested researchers. This book with nine chapters systematically describes Nevanlinna theory of meromorphic maps between algebraic varieties or complex spaces, building up from the classical theory of meromorphic functions on the complex plane with full proofs in Chap. 1 to the current state of research. Chapter 2 presents the First Main Theorem for coherent ideal sheaves in a very general form. With the preparation of plurisubharmonic functions, how the theory to be generalized in a higher dimension is described. In Chap. 3 the Second Main Theorem for differentiably non-degenerate meromorphic maps by Griffiths and others is proved as a prototype of higher dimensional Nevanlinna theory. Establishing such a Second Main Theorem for entire curves in general complex algebraic varieties is a wide-open problem. In Chap. 4, the Cartan-Nochka Second Main Theorem in the linear projective case and the Logarithmic Bloch-Ochiai Theorem in the case of general algebraic varieties are proved. Then the theory of entire curves in semi-abelian varieties, including the Second Main Theorem of Noguchi-Winkelmann-Yamanoi, is dealt with in full details in Chap. 6. For that purpose Chap. 5 is devoted to the notion of semi-abelian varieties. The result leads to a number of applications. With these results, the Kobayashi hyperbolicity problems are discussed in Chap. 7. In the last two chapters Diophantine approximation theory is dealt with from the viewpoint of higher dimensional Nevanlinna theory, and the Lang-Vojta conjecture is confirmed in some cases. In Chap. 8 the theory over function fields is discussed. Finally, in Chap. 9, the theorems of Roth, Schmidt, Faltings, and Vojta over number fields are presented and formulated in view of Nevanlinna theory with results motivated by those in Chaps. 4, 6, and 7.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700	1		_aWinkelmann, Jörg. _eautor _9348882
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9784431545705
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-4-431-54571-2 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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