Multiplicities and Chern Classes in Local Algebra
Part of Cambridge Tracts in Mathematics
- Author: Paul C. Roberts, University of Utah
- Date Published: June 2008
- availability: Available
- format: Paperback
- isbn: 9780521065832
Paperback
Other available formats:
Hardback, eBook
Looking for an inspection copy?
This title is not currently available for inspection. However, if you are interested in the title for your course we can consider offering an inspection copy. To register your interest please contact asiamktg@cambridge.org providing details of the course you are teaching.
-
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.
Read more- First book to give a thorough account of use of Chern classes in commutative algebra
- Does not require an extensive background in algebraic geometry
- Includes recent research results
Reviews & endorsements
Review of the hardback: '… 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
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: June 2008
- format: Paperback
- isbn: 9780521065832
- length: 320 pages
- dimensions: 230 x 150 x 20 mm
- weight: 0.47kg
- availability: Available
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.
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×