La Matematica per il 3+2

An Undergraduate Primer in Algebraic Geometry

Authors: Ciliberto, Ciro

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  • 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 Algebraic Geometry
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eBook $54.99
price for USA in USD
  • ISBN 978-3-030-71021-7
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Softcover $69.99
price for USA in USD
  • ISBN 978-3-030-71020-0
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  • Institutional customers should get in touch with their account manager
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  • Usually ready to be dispatched within 3 to 5 business days, if in stock
About this Textbook

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.

About the authors

Ciro Ciliberto has been a full professor of higher geometry at the University of Roma “Tor Vergata”. Recently, he retired and kept the honorary position of “Docens Turris Virgatae” at the same university. His research fields are algebraic geometry and history of mathematics. He published more than 200 research papers, most of them in top scientific journals, and various books. He spent several research stays abroad, he has been invited to give talks to several international conferences and he is the editor of various scientific journals. Among his hobbies, there are painting and writing.

Table of contents (20 chapters)

Table of contents (20 chapters)

Buy this book

eBook $54.99
price for USA in USD
  • ISBN 978-3-030-71021-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA in USD
  • ISBN 978-3-030-71020-0
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
An Undergraduate Primer in Algebraic Geometry
Authors
Series Title
La Matematica per il 3+2
Series Volume
129
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-71021-7
DOI
10.1007/978-3-030-71021-7
Softcover ISBN
978-3-030-71020-0
Series ISSN
2038-5722
Edition Number
1
Number of Pages
XI, 327
Number of Illustrations
1 b/w illustrations
Topics