Multiplicities and Chern Classes in Local Algebra
Book Details
Format
Paperback / Softback
Book Series
Cambridge Tracts in Mathematics
ISBN-10
0521065836
ISBN-13
9780521065832
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jun 19th, 2008
Print length
320 Pages
Weight
470 grams
Dimensions
23.00 x 15.00 x 2.00 cms
Product Classification:
Algebra
Ksh 9,550.00
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In recent years there have been new developments in the field of commutative algebra which led to proofs of several conjectures which had been open for many years. Many of these proofs rely on techniques from topology and algebraic geometry. This book describes the mathematical background necessary to prove these results and sets them in their algebraic context.
The theory of local Chern characters used in commutative algebra originated in topology some years ago, and from there was introduced in algebraic geometry. This book describes the theory in an algebraic setting, presenting 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.
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