Introduction to Commutative Algebra and Algebraic Geometry

  • Ernst Kunz

Part of the Modern Birkhäuser Classics book series (MBC)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Ernst Kunz
    Pages 1-38
  3. Ernst Kunz
    Pages 39-62
  4. Ernst Kunz
    Pages 196-223
  5. Back Matter
    Pages 224-238

About this book

Introduction

Originally published in 1985, this classic textbook is an English translation of Einführung in die kommutative Algebra und algebraische Geometrie. As part of the Modern Birkhäuser Classics series, the publisher is proud to make Introduction to Commutative Algebra and Algebraic Geometry available to a wider audience.

 

Aimed at students who have taken a basic course in algebra, the goal of the text is to present important results concerning the representation of algebraic varieties as intersections of the least possible number of hypersurfaces and—a closely related problem—with the most economical generation of ideals in Noetherian rings. Along the way, one encounters many basic concepts of commutative algebra and algebraic geometry and proves many facts which can then serve as a basic stock for a deeper study of these subjects.

Keywords

Krull's Principal Ideal Theorem algebraic curves algebraic geometry commutative algebra dimension rational functions

Authors and affiliations

  • Ernst Kunz
    • 1
  1. 1., Fakultät für MathematikUniversität RegensburgRegensburgGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4614-5987-3
  • Copyright Information Springer Science+Business Media New York 2013
  • Publisher Name Birkhäuser, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4614-5986-6
  • Online ISBN 978-1-4614-5987-3
  • About this book