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Introduction to Commutative Algebra and Algebraic Geometry
Ernst Kunz
- 01 Jan 1984
574
TL;DR: The local-global principle in commutative algebra was introduced in this article, where the number of equations needed to describe an algebraic variety was defined as a function of the dimension and singular points of algebraic varieties.
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Abstract: Foreword.- Preface.- Preface to the English Edition.- Terminology.- Algebraic varieties.- Dimension.- Regular and rational functions on algebraic varieties.- 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 Resolutions.- Bibliography.- List of Symbols.- Index.
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