000			02398nam a22002777a 4500
003			OSt
005			20240625173658.0
008			240620b |||||||| |||| 00| 0 hin d
020			_a9781470471118
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082	0	0	_a512.7 _bART-A
100	1		_aArtin, Michael
245	1	0	_aAlgebraic geometry : _bnotes on a course
260			_aRhode Island : _bAmerican Mathematical Society, _c2022.
300			_ax, 318p. : _c26 cm.
490			_aGraduate studies in mathematics, _v222. _x1065-7339 ;
504			_aIncludes bibliographical references (pages 313-314) and index.
520			_aThis book is an introduction to the geometry of complex algebraic varieties. It is intended for students who have learned algebra, analysis, and topology, as taught in standard undergraduate courses. So it is a suitable text for a beginning graduate course or an advanced undergraduate course. The book begins with a study of plane algebraic curves, then introduces affine and projective varieties, going on to dimension and constructibility. O-modules (quasicoherent sheaves) are defined without reference to sheaf theory, and their cohomology is defined axiomatically. The Riemann-Roch Theorem for curves is proved using projection to the projective line. Some of the points that aren't always treated in beginning courses are Hensel's Lemma, Chevalley's Finiteness Theorem, and the Birkhoff-Grothendieck Theorem. The book contains extensive discussions of finite group actions, lines in P3,and double planes, and it ends with applications of the Riemann-Roch Theorem.
521			_aUndergraduate and graduate students interested in learning and teaching algebraic geometry.
650		0	_aGeometry, Algebraic.
650		7	_aAlgebraic geometry -- Instructional exposition (textbooks, tutorial papers, etc.).
856			_3Table of Contents _uhttps://www.ams.org/bookstore/pspdf/gsm-222-toc.pdf?_gl=1*1lhyl5f*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxOTMwNTI2OC4zLjEuMTcxOTMxNzEzMi4wLjAuMA..
856			_3Index _uhttps://www.ams.org/bookstore/pspdf/gsm-222-index.pdf?_gl=1*r4v97c*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxOTMwNTI2OC4zLjEuMTcxOTMxNzEzMy4wLjAuMA..
856			_3Reviews _uhttps://www.goodreads.com/book/show/61722980-algebraic-geometry?from_search=true&from_srp=true&qid=Rb9DSiI9ZC&rank=1#CommunityReviews
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