000			03400nam a22003735i 4500
001			308857
003			MX-SnUAN
005			20160429160234.0
007			cr nn 008mamaa
008			150903s2010 gw | o |||| 0|eng d
020			_a9783834897220 _99783834897220
024	7		_a10.1007/9783834897220 _2doi
035			_avtls000363355
039		9	_a201509030637 _bVLOAD _c201405070343 _dVLOAD _y201402211144 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA150-272
100	1		_aGörtz, Ulrich. _eautor _9348898
245	1	0	_aAlgebraic Geometry I : _bSchemes With Examples and Exercises / _cby Ulrich Görtz, Torsten Wedhorn.
264		1	_aWiesbaden : _bVieweg+Teubner, _c2010.
300			_aiv, 615 páginas _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
500			_aSpringer eBooks
505	0		_aPrevarieties -- Spectrum of a Ring -- Schemes -- Fiber products -- Schemes over fields -- Local Properties of Schemes -- Quasi-coherent modules -- Representable Functors -- Separated morphisms -- Finiteness Conditions -- Vector bundles -- Affine and proper morphisms -- Projective morphisms -- Flat morphisms and dimension -- One-dimensional schemes -- Examples.
520			_aThis book introduces the reader to modern algebraic geometry. It presents Grothendieck's technically demanding language of schemes that is the basis of the most important developments in the last fifty years within this area. A systematic treatment and motivation of the theory is emphasized, using concrete examples to illustrate its usefulness. Several examples from the realm of Hilbert modular surfaces and of determinantal varieties are used methodically to discuss the covered techniques. Thus the reader experiences that the further development of the theory yields an ever better understanding of these fascinating objects. The text is complemented by many exercises that serve to check the comprehension of the text, treat further examples, or give an outlook on further results. The volume at hand is an introduction to schemes. To get startet, it requires only basic knowledge in abstract algebra and topology. Essential facts from commutative algebra are assembled in an appendix. It will be complemented by a second volume on the cohomology of schemes. Prevarieties - Spectrum of a Ring - Schemes - Fiber products - Schemes over fields - Local properties of schemes - Quasi-coherent modules - Representable functors - Separated morphisms - Finiteness Conditions - Vector bundles - Affine and proper morphisms - Projective morphisms - Flat morphisms and dimension - One-dimensional schemes - Examples Prof. Dr. Ulrich Görtz, Institute of Experimental Mathematics, University Duisburg-Essen Prof. Dr. Torsten Wedhorn, Department of Mathematics, University of Paderborn
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700	1		_aWedhorn, Torsten. _eautor _9348899
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9783834806765
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-3-8348-9722-0 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
942			_c14
999			_c308857 _d308857