
Arithmetic of Blowup Algebras
Wolmer V. Vasconcelos(Author)
Cambridge University Press
Published on 25. February 1994
Book
Paperback/Softback
340 pages
978-0-521-45484-1 (ISBN)
Description
This book provides an introduction to recent developments in the theory of blow up algebras - Rees algebras, associated graded rings, Hilbert functions, and birational morphisms. The emphasis is on deriving properties of rings from their specifications in terms of generators and relations. While this limits the generality of many results, it opens the way for the application of computational methods. A highlight of the book is the chapter on advanced computational methods in algebra using Groebner basis theory and advanced commutative algebra. The author presents the Groebner basis algorithm and shows how it can be used to resolve computational questions in algebra. This volume is intended for advanced students in commutative algebra, algebraic geometry and computational algebra, and homological algebra. It can be used as a reference for the theory of Rees algebras and related topics.
Reviews / Votes
'...an interesting collection of facts not easily found elsewhere.' MathematikaMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Product notice
Paperback (trade)
Illustrations
Worked examples or Exercises
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 20 mm
Weight
553 gr
ISBN-13
978-0-521-45484-1 (9780521454841)
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Schweitzer Classification
Other editions
Additional editions

Wolmer V. Vasconcelos
Arithmetic of Blowup Algebras
E-Book
02/2011
1st Edition
Cambridge University Press
€51.49
Available for download
Person
Content
1. Krull dimension; 2. Syzygetic sequences; 3. Approximation complexes; 4. Linkage and Koszul homology; 5. Arithmetic of Rees algebras; 6. Factoriality; 7. Ideal transforms; 8. The equations of Rees algebras; 9. Commuting varieties of algebras; 10. Computational methods in commutative algebra.