An Undergraduate Primer in Algebraic Geometry

$9.99

An Undergraduate Primer in Algebraic Geometry
Authors: Ciro Ciliberto
Year: 2021
Publisher: Springer Nature Switzerland
Language: english
ISBN 13: 9783030710217
ISBN 10: 3030710211
Categorie: Mathematics, Algebra
Pages: 327 / 323
Edition: 1

Availability: 5000 in stock

SKU: 9783030710217 Categories: ,

An Undergraduate Primer in Algebraic Geometry Ciro Ciliberto

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.
Categories:
Mathematics – Algebra
Year:
2021
Edition:
1
Publisher:
Springer Nature Switzerland
Language:
english
Pages:
327 / 323
ISBN 10:
3030710211
ISBN 13:
9783030710217
Series:
Unitext 129
File:
90 MB

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An Undergraduate Primer in Algebraic Geometry
$9.99

Availability: 5000 in stock