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Arithmetic of Blowup Algebras : London Mathematical Society Lecture Note Series - Wolmer V. Vasconcelos

Arithmetic of Blowup Algebras

London Mathematical Society Lecture Note Series

Paperback Published: 23rd May 1994
ISBN: 9780521454841
Number Of Pages: 340

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The theory of blowup algebras--Rees algebras, associated graded rings, Hilbert functions, and birational morphisms--is undergoing a period of rapid development. One of the aims of this book is to provide an introduction to these developments. The emphasis is on deriving properties of rings from their specifications in terms of generators and relations. While this places limitations on 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 built on current understanding of Grobner basis theory and advanced commutative algebra. In a concise way, the author presents the Grobner basis algorithm and shows how it can be used to resolve many computational questions in algebra.

'...an interesting collection of facts not easily found elsewhere.' Mathematika

Krull dimension
Syzygetic sequences
Approximation complexes
Linkage and Koszul homology
Arithmetic of Rees algebras
Factoriality
Ideal transforms
The equations of Rees algebras
Commuting varieties of algebras
Computational methods in commutative algebra
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521454841
ISBN-10: 0521454840
Series: London Mathematical Society Lecture Note Series
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 340
Published: 23rd May 1994
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 1.9
Weight (kg): 0.5

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