000			02843nam a22004337a 4500
001			21681655
003			IIITD
005			20260306145040.0
006			m |o d |
007			cr |||||||||||
008			130830s2013 gw |||| o |||| 0|eng
010			_a 2019747907
020			_a9783662514016
024	7		_a10.1007/978-3-642-38010-5 _2doi
035			_a21681655
035			_a(DE-He213)978-3-642-38010-5
040			_aIIITD _beng _epn _erda _cDLC
072		7	_aMAT012010 _2bisacsh
072		7	_aPBMW _2bicssc
072		7	_aPBMW _2thema
082	0	4	_a516.35 _223 _bSHA-B
100	1		_aShafarevich, Igor R.
245	1	0	_aBasic algebraic geometry 2 : _bschemes and complex manifolds _cby Igor R. Shafarevich
250			_a3rd ed
260			_aNew York : _bSpringer, _c©2013
300			_axiv, 262 p. : _bill. ; _c22 cm.
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	_aGeometry, Algebraic.
650		0	_aMathematical physics.
650	1	4	_aAlgebraic Geometry.
650	2	4	_aTheoretical, Mathematical and Computational Physics.
776	0	8	_iPrint version: _tBasic algebraic geometry 2 : schemes and complex manifolds _z9783642380099 _w(DLC) 2013945857
776	0	8	_iPrinted edition: _z9783642380099
776	0	8	_iPrinted edition: _z9783642380112
776	0	8	_iPrinted edition: _z9783662514016
906			_a0 _bibc _corigres _du _encip _f20 _gy-gencatlg
942			_2ddc _cBK
999			_c209685 _d209685