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An Invitation to Algebraic Geometry

  • Textbook
  • © 2000

Overview

Authors:
  1. Karen E. Smith

    1. Department of Mathematics, University of Michigan, Ann Arbor, USA

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  2. Lauri Kahanpää

    1. Department of Mathematics, University of Jyvaeskylae, Jyvaeskylae, Finland

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  3. Pekka Kekäläinen

    1. Department of Computer Science and Applied Mathematics, University of Kuopio, Kuopio, Finland

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  4. William Traves

    1. US Naval Academy, Annapolis, USA

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Part of the book series: Universitext (UTX)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xvi
    Download chapter PDF

  2. Affine Algebraic Varieties

    • Karen E. Smith, Lauri Kahanpää, Pekka Kekäläinen, William Traves
    Pages 1-13

  3. Algebraic Foundations

    • Karen E. Smith, Lauri Kahanpää, Pekka Kekäläinen, William Traves
    Pages 15-32

  4. Projective Varieties

    • Karen E. Smith, Lauri Kahanpää, Pekka Kekäläinen, William Traves
    Pages 33-50

  5. Quasi-Projective Varieties

    • Karen E. Smith, Lauri Kahanpää, Pekka Kekäläinen, William Traves
    Pages 51-61

  6. Classical Constructions

    • Karen E. Smith, Lauri Kahanpää, Pekka Kekäläinen, William Traves
    Pages 63-84

  7. Smoothness

    • Karen E. Smith, Lauri Kahanpää, Pekka Kekäläinen, William Traves
    Pages 85-104

  8. Birational Geometry

    • Karen E. Smith, Lauri Kahanpää, Pekka Kekäläinen, William Traves
    Pages 105-122

  9. Maps to Projective Space

    • Karen E. Smith, Lauri Kahanpää, Pekka Kekäläinen, William Traves
    Pages 123-144

  10. Back Matter

    Pages 145-162
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Keywords

About this book

The aim of this book is to describe the underlying principles of algebraic geometry, some of its important developments in the twentieth century, and some of the problems that occupy its practitioners today. It is intended for the working or the aspiring mathematician who is unfamiliar with algebraic geometry but wishes to gain an appreciation of its foundations and its goals with a minimum of prerequisites. Few algebraic prerequisites are presumed beyond a basic course in linear algebra.

Reviews

K.E. Smith, L. Kahanpaeae, P.Kekaelaeinen, and W.N. Traves

An Invitation to Algebraic Geometry

"The book . . . is clear and accessible."—CHOICE

Authors and Affiliations

  • Department of Mathematics, University of Michigan, Ann Arbor, USA

    Karen E. Smith

  • Department of Mathematics, University of Jyvaeskylae, Jyvaeskylae, Finland

    Lauri Kahanpää

  • Department of Computer Science and Applied Mathematics, University of Kuopio, Kuopio, Finland

    Pekka Kekäläinen

  • US Naval Academy, Annapolis, USA

    William Traves

Bibliographic Information

  • Book Title: An Invitation to Algebraic Geometry

  • Authors: Karen E. Smith, Lauri Kahanpää, Pekka Kekäläinen, William Traves

  • Series Title: Universitext

  • DOI: https://doi.org/10.1007/978-1-4757-4497-2

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 2000

  • Hardcover ISBN: 978-0-387-98980-8Published: 31 October 2000

  • Softcover ISBN: 978-1-4419-3195-5Published: 19 November 2010

  • eBook ISBN: 978-1-4757-4497-2Published: 09 March 2013

  • Series ISSN: 0172-5939

  • Series E-ISSN: 2191-6675

  • Edition Number: 1

  • Number of Pages: XVI, 164

  • Topics: Algebraic Geometry

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