Elements of Noncommutative Geometry (Birkhäuser Advanced Texts / Basler Lehrbücher)
Edition: 1 edition
Publisher: Birkhäuser Boston
Published: October 23, 2000
Language: eng
Format: Hardcover
Number of pages: 400
ISBN-13: 9780817641245
Subjects: Geometry; Noncommutative rings; Algebraic Geometry; Mathematics; Science/Mathematics; Physics; Geometry - Algebraic; Mathematics / Geometry / Algebraic; Mathematics / Geometry / Differential; Science-Physics; Geometry, Algebraic
First sentence: The geometrical study of quadratic curves or surfaces, i.e., zero sets of second-degree polynomials, proceeds by examining points of intersection or tangent lines directly; but already for cubic curves it pays to examine first the ideal of all polynomials that vanish on the curve: in this way the study of an algebraic variety (the zero set of a given finite collection of polynomials) is replaced by the study of the corresponding polynomial ideal.