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Multiplicities and Chern Classes in Local Algebra : Cambridge Tracts in Mathematics - Paul C. Roberts

Multiplicities and Chern Classes in Local Algebra

Cambridge Tracts in Mathematics

Hardcover

Published: 23rd December 2004
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The theory of local Chern characters used in commutative algebra originated in topology about thirty years ago, and from there was introduced in algebraic geometry. This book describes the theory in an algebraic setting, presenting recent research results and important algebraic applications, some of which come from the author's own work. It concentrates on the background in commutative algebra and homological algebra and describes the relations between these subjects, including extensive discussions of the homological conjectures and of the use of the Frobenius map. It will be particularly useful for graduate students and researchers.

From the hardback review: '... a well-motivated survey of such a broad range of material, some of it quite technical, which leads the reader to the forefront of some of the deepest modern developments in Intersection Theory.' Proceedings of the Edinburgh Mathematical Society

Prime ideals and the Chow group
Graded rings and Samuel multiplicity
Complexes and derived functors
Homological properties of rings and modules
Intersection multiplicities
The homological conjectures
The Frobenius map
Projective schemes
Chern classes of locally free sheaves
The Grassmannian
Local Chern characters
Properties of local Chern characters
Applications and examples.
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521473163
ISBN-10: 0521473160
Series: Cambridge Tracts in Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 320
Published: 23rd December 2004
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 2.2
Weight (kg): 0.64