Multiplicities and Chern Classes in Local Algebra

Klappentext Presents the theory of local Chern characters used in commutative algebra in an algebraic setting. Zusammenfassung 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. Inhaltsverzeichnis 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.

Product details

• Authors: Paul C. Roberts, Paul C. (University of Utah) Roberts
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 19.06.2008
• EAN: 9780521065832
• ISBN: 978-0-521-06583-2
• No. of pages: 320
• Series: Cambridge Tracts in Mathematic
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra