Arithmetic of Blowup Algebras

By: Wolme Vasconcelos, J. W. S. Cassels (Editor), N. J. Hitchin (Editor)

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Paperback | 23 May 1994

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340 Pages

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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.

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

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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.

Arithmetic of Blowup Algebras

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

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