Algebra

An Algebraic Introduction to Complex Projective Geometry: Commutative Algebra

Name: An Algebraic Introduction to Complex Projective Geometry: Commutative Algebra
Brand: Cambridge University Press
SKU: 9780521480727
Price: 16523.00 INR
Availability: InStock
ISBN: 9780521480727

ALGEBRAIC INTRO TO COMPLEX PRO

Contributor(s): Peskine, Christian Author , Christian, Peskine Author Format: Hardback

Hardback · ISBN 9780521480727

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Key Specifications

ISBN	9780521480727
Subtitle	ALGEBRAIC INTRO TO COMPLEX PRO
Publisher	Cambridge University Press
Publication date	February 1996
Language	English
MRP	£131.00 GBP
Page count	244
Item weight	117 g

In this introduction to commutative algebra, the author choses a route that leads the reader through the essential ideas, without getting embroiled in technicalities. He takes the reader quickly to the fundamentals of complex projective geometry, requiring only a basic knowledge of linear and multilinear algebra and some elementary group theory. The author divides the book into three parts. In the first, he develops the general theory of noetherian rings and modules. He includes a certain amount of homological algebra, and he emphasizes rings and modules of fractions as preparation for working with sheaves. In the second part, he discusses polynomial rings in several variables with coefficients in the field of complex numbers. After Noether's normalization lemma and Hilbert's Nullstellensatz, the author introduces affine complex schemes and their morphisms; he then proves Zariski's main theorem and Chevalley's semi-continuity theorem. Finally, the author's detailed study of Weil and Cartier divisors provides a solid background for modern intersection theory. This is an excellent textbook for those who seek an efficient and rapid introduction to the geometric applications of commutative algebra.

An Algebraic Introduction to Complex Projective Geometry: Commutative Algebra

Key Specifications

Peskine, Christian Author

Christian, Peskine Author

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