| 期刊全稱 | An Undergraduate Primer in Algebraic Geometry | | 影響因子2023 | Ciro Ciliberto | | 視頻video | http://file.papertrans.cn/156/155704/155704.mp4 | | 發(fā)行地址 | Provides a self contained introduction to Algebraic Geometry for undergraduate students.Contains many exercises, some of them with solution.Useful for non-experts who want to learn the basics of Algeb | | 學科分類 | UNITEXT | | 圖書封面 |  | | 影響因子 | .This 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 | | Pindex | Textbook 2021 |
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