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Introduction to Commutative Algebra and Algebraic Geometry

✍ Scribed by Ernst Kunz (auth.)

Publisher
Birkhäuser Basel
Year
2013
Tongue
English
Leaves
252
Series
Modern Birkhäuser Classics
Edition
1
Category
Library
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✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-xiii
Algebraic varieties....Pages 1-38
Dimension....Pages 39-62
Regular and rational functions on algebraic varieties Localization....Pages 63-92
The local-global principle in commutative algebra....Pages 93-122
On the number of equations needed to describe an algebraic variety....Pages 123-162
Regular and singular points of algebraic varieties....Pages 163-195
Projective resolutions....Pages 196-223
Back Matter....Pages 224-238

✦ Subjects

Algebraic Geometry; Algebra; Commutative Rings and Algebras

📜 SIMILAR VOLUMES

Introduction to Commutative Algebra and
📁 Introduction to Commutative Algebra and Algebraic Geometry
✍ Ernst Kunz 📂 Library 📅 1984 🏛 Birkhäuser Boston 🌐 English

This book will be particularly valuable to the American student because it covers material that is not available in any other textbooks or monographs. The subject of the book is not restricted to commutative algebra developed as a pure discipline for its own sake, nor is it aimed only at algebraic g

Introduction to Commutative Algebra and
📁 Introduction to Commutative Algebra and Algebraic Geometry
✍ Ernst Kunz 📂 Library 📅 1984 🏛 Birkhäuser Boston 🌐 English

This book will be particularly valuable to the American student because it covers material that is not available in any other textbooks or monographs. The subject of the book is not restricted to commutative algebra developed as a pure discipline for its own sake, nor is it aimed only at algebraic g

Introduction to commutative algebra and
📁 Introduction to commutative algebra and algebraic geometry
✍ Ernst Kunz 📂 Library 📅 2013 🏛 Birkhauser 🌐 English

Algebraic varieties -- Dimension -- Regular and rational functions on algebraic varieties Localization -- The local-global principle in commutative algebra -- On the number of equations needed to describe an algebraic variety -- Regular and singular points of algebraic varieties -- Projective resol