Multiplicities and Chern Classes in Local Algebra

Multiplicities and Chern Classes in Local Algebra

by Paul C. Roberts
     
 

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ISBN-10: 0521065836

ISBN-13: 9780521065832

Pub. Date: 06/19/2008

Publisher: Cambridge University Press

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, making them difficult for students and even researchers specializing in algebra to read. This book describes the mathematical

Overview

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, making them difficult for students and even researchers specializing in algebra to read. This book describes the mathematical background necessary to prove these results and sets them in their algebraic context.

Product Details

ISBN-13:
9780521065832
Publisher:
Cambridge University Press
Publication date:
06/19/2008
Series:
Cambridge Tracts in Mathematics Series, #133
Edition description:
New Edition
Pages:
320
Product dimensions:
6.00(w) x 8.90(h) x 0.90(d)

Table of Contents

1. Prime ideals and the Chow group; 2. Graded rings and Samuel multiplicity; 3. Complexes and derived functors; 4. Homological properties of rings and modules; 5. Intersection multiplicities; 6. The homological conjectures; 7. The Frobenius map; 8. Projective schemes; 9. Chern classes of locally free sheaves; 10. The Grassmannian; 11. Local Chern characters; 12. Properties of local Chern characters; 13. Applications and examples.

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