000			02228nam a22002897a 4500
003			OSt
005			20241019170349.0
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020			_a9783030710200
040			_aNISER LIBRARY _beng _cNISER LIBRARY
041			_aEnglish
082			_a512.7 _bCIL-U
100			_aCiliberto, Ciro
245			_aUndergraduate primer in algebraic geometry
260			_aSwitzerland : _bSpringer, _c2021.
300			_axi, 327p.
440			_a;
490			_aUnitext, _v129 _x2038-5722 ;
520			_aThis book consists of two parts. The first is devoted to an introduction to basic concepts in algebraic geometry: affine and projective varieties, some of their main attributes and examples. The second part is devoted to the theory of curves: local properties, affine and projective plane curves, resolution of singularities, linear equivalence of divisors and linear series, Riemann–Roch and Riemann–Hurwitz Theorems. The approach in this book is purely algebraic. The main tool is commutative algebra, from which the needed results are recalled, in most cases with proofs. The prerequisites consist of the knowledge of basics in affine and projective geometry, basic algebraic concepts regarding rings, modules, fields, linear algebra, basic notions in the theory of categories, and some elementary point–set topology. This book can be used as a textbook for an undergraduate course in algebraic geometry. The users of the book are not necessarily intended to become algebraic geometers but may be interested students or researchers who want to have a first smattering in the topic. The book contains several exercises, in which there are more examples and parts of the theory that are not fully developed in the text. Of some exercises, there are solutions at the end of each chapter.
650			_aGeometry, Algebraic
650			_aAlgebra
650			_aCurves
650			_aProjective Algebra
856			_3Table of contents _uhttps://link.springer.com/content/pdf/bfm:978-3-030-71021-7/1
856			_3Reviews _uhttps://www.goodreads.com/book/show/62917474-an-undergraduate-primer-in-algebraic-geometry?ref=nav_sb_ss_1_13#CommunityReviews
942			_cBK _2udc
999			_c35317 _d35317