000			02319nam a22002297a 4500
003			OSt
005			20260608125908.0
008			260608b |||||||| |||| 00| 0 eng d
020			_a9783030710200
041			_aeng
082			_a516.35 CIL-U
100			_aCiliberto, Ciro _981744
245			_aAn undergraduate primer in algebraic geometry
260			_aSwitzerland _bSpringer Nature Switzerland _c2021
300			_axi, 327p.
440			_aUNITEXT - La Matematica il 3+2 _vVolume 129 _981745
500			_aIntroductory textbook on algebraic geometry for undergraduate students. Covers affine and projective varieties, morphisms, dimension theory, rational functions, divisors, linear series, affine and projective curves, Bézout's theorem, and fundamental concepts of modern algebraic geometry. Designed as an accessible introduction for students with backgrounds in linear algebra, abstract algebra, and geometry.
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			_aAlgebraic geometry _981746
942			_cBK
999			_c200040 _d200040