000			02900nam a22004335i 4500
001			978-3-642-38010-5
003			DE-He213
005			20140220082910.0
007			cr nn 008mamaa
008			130830s2013 gw | s |||| 0|eng d
020			_a9783642380105 _9978-3-642-38010-5
024	7		_a10.1007/978-3-642-38010-5 _2doi
050		4	_aQA564-609
072		7	_aPBMW _2bicssc
072		7	_aMAT012010 _2bisacsh
082	0	4	_a516.35 _223
100	1		_aShafarevich, Igor R. _eauthor.
245	1	0	_aBasic Algebraic Geometry 2 _h[electronic resource] : _bSchemes and Complex Manifolds / _cby Igor R. Shafarevich.
250			_a3rd ed. 2013.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2013.
300			_aXIV, 262 p. 12 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aPreface -- Book 1. Varieties in Projective Space: Chapter I. Basic Notions -- Chapter II. Local Properties -- Chapter III. Divisors and Differential Forms -- Chapter IV. Intersection Numbers -- Algebraic Appendix -- References -- Index.
520			_aShafarevich's Basic Algebraic Geometry has been a classic and universally used introduction to the subject since its first appearance over 40 years ago. As the translator writes in a prefatory note, ``For all [advanced undergraduate and beginning graduate] students, and for the many specialists in other branches of math who need a liberal education in algebraic geometry, Shafarevich’s book is a must.'' The second volume is in two parts: Book II is a gentle cultural introduction to scheme theory, with the first aim of putting abstract algebraic varieties on a firm foundation; a second aim is to introduce Hilbert schemes and moduli spaces, that serve as parameter spaces for other geometric constructions. Book III discusses complex manifolds and their relation with algebraic varieties, Kähler geometry and Hodge theory. The final section raises an important problem in uniformising higher dimensional varieties that has been widely studied as the ``Shafarevich conjecture''. The style of  Basic Algebraic Geometry 2 and its minimal prerequisites make it to a large extent independent of  Basic Algebraic Geometry 1, and accessible to beginning graduate students in mathematics and in theoretical physics.
650		0	_aMathematics.
650		0	_aGeometry, algebraic.
650	1	4	_aMathematics.
650	2	4	_aAlgebraic Geometry.
650	2	4	_aTheoretical, Mathematical and Computational Physics.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783642380099
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-642-38010-5
912			_aZDB-2-SMA
999			_c98178 _d98178