Paul C. Roberts (University of Utah)

Multiplicities and Chern Classes in Local Algebra

Herausgeber: Bollobas, Bela; Fulton, W.

• Gebundenes Buch

Produktbeschreibung

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.

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Produktdetails

• Cambridge Tracts in Mathematics
• Verlag: Cambridge University Press
• Seitenzahl: 320
• Erscheinungstermin: 23. Dezember 2004
• Englisch
• Abmessung: 235mm x 157mm x 23mm
• Gewicht: 640g
• ISBN-13: 9780521473163
• ISBN-10: 0521473160
• Artikelnr.: 21638832

Inhaltsangabe

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.