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Arithmetic of Blowup Algebras

Arithmetic of Blowup Algebras

Paperback

Series: London Mathematical Society Lecture Note, Book 195

AlgebraGeneral Mathematics

ISBN10: 0521454840
ISBN13: 9780521454841
Publisher: Cambridge University Press
Published: Feb 25 1994
Pages: 340
Weight: 1.08
Height: 0.74 Width: 6.04 Depth: 9.03
Language: English
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 Gröbner basis theory and advanced commutative algebra. In a concise way, the author presents the Gröbner basis algorithm and shows how it can be used to resolve many computational questions in algebra.

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