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An Undergraduate Primer in Algebraic Geometry - 1st ed. 2021

By: (Author) Ciro Ciliberto

Extended Catalogue

Ksh 9,000.00

Format: Paperback / Softback

ISBN-10: 3030710203

ISBN-13: 9783030710200

Edition: 1st ed. 2021

Series: La Matematica per il 3+2

Publisher: Springer Nature Switzerland AG

Imprint: Springer Nature Switzerland AG

Country of Manufacture: CH

Country of Publication: GB

Publication Date: May 5th, 2021

Print length: 327 Pages

Weight: 572 grams

Dimensions (height x width x thickness): 15.50 x 23.50 x 2.00 cms

Product Classification: Algebraic geometry

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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.

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 developed in the text. Of some exercises, there are solutions at the end of each chapter.


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