Arithmetic of Blowup Algebras by Wolmer V. Vasconcelos
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Arithmetic of Blowup Algebras
By Wolmer V. Vasconcelos

Arithmetic of Blowup Algebras

By (author) See other recent books by Wolmer V. Vasconcelos
Series edited by N. J. Hitchin See other recent books by N. J. Hitchin
Format: Paperback

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Arithmetic of Blowup Algebras by Wolmer V. Vasconcelos

Book 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 Grobner basis theory and advanced commutative algebra. The author presents the Grobner 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.

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Book Details

ISBN: 9780521454841
ISBN-10: 0521454840
Format: Paperback
(228mm x 152mm x 19mm)
Pages: 340
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 25-Feb-1994
Country of Publication: United Kingdom

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