Arithmetic of Blowup Algebras

Arithmetic of Blowup Algebras

eBook - 1994
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Cambridge Univ Pr
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.
This book discusses recent developments in an important area of computational commutative algebra.

Publisher: Cambridge ; New York : Cambridge University Press, 1994
ISBN: 9781107362000
Characteristics: 1 online resource (329 pages)
Alternative Title: Blowup algebras


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