000			02115dam a2200241 a 4500
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008			140314m19972003riua b 001 0 eng
020			_a0821813579
082	0	0	_a516.35 _221
084			_a516.35 _bUEN-A
100	1		_aUeno, Kenji, _d1945-
240	1	0	_aDaisåu kika. _lEnglish
245	1	0	_aAlgebraic geometry 2 _h[Book] : _bsheaves and cohomology / _cKenji Ueno ; translated by Goro Kato.
260			_aProvidence, R.I. : _bAmerican Mathematical Society, _cc1997, c2001.
300			_a184 p. : _bill. ; _c22 cm.
440		0	_aIwanami series in modern mathematics ; _v197
440		0	_aTranslations of mathematical monographs, _x0065-9282 ; _vv. 185, 197, 218
504			_aIncludes bibliographical references (v. 3, p. 193-202) and indexes.
520			_aModern algebraic geometry is built upon two fundamental notions: schemes and sheaves. The theory of schemes is presented in the first part of this book (Algebraic Geometry 1: From Algebraic Varieties to Schemes, AMS, 1999, Translations of Mathematical Monographs, Volume 185). In the present book, the author turns to the theory of sheaves and their cohomology. Loosely speaking, a sheaf is a way of keeping track of local information defined on a topological space, such as the local algebraic functions on an algebraic manifold or the local sections of a vector bundle. Sheaf cohomology is a primary tool in understanding sheaves and using them to study properties of the corresponding manifolds. The text covers the important topics of the theory of sheaves on algebraic varieties, including types of sheaves and the fundamental operations on them, such as coherent and quasicoherent sheaves, direct and inverse images, behavior of sheaves under proper and projective morphisms, and Cech cohomology. The book contains numerous problems and exercises with solutions. It would be an excellent text for the second part of a course in algebraic geometry.
650		0	_aGeometry, Algebraic.
852			_p46886 _94429.66 _vGrace Book Peshawar _dBooks
999			_c15187 _d15187