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Arithmetic of Blowup Algebras

Arithmetic of Blowup Algebras

Wolmer V. Vasconcelos
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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 Gr?bner basis theory and advanced commutative algebra. In a concise way, the author presents the Gr?bner basis algorithm and shows how it can be used to resolve many computational questions in algebra.
Catégories:
Année:
1994
Editeur::
Cambridge University Press
Langue:
english
Pages:
339
ISBN 10:
0521454840
ISBN 13:
9780521454841
Collection:
London Mathematical Society Lecture Note Series
Fichier:
DJVU, 1.52 MB
IPFS:
CID , CID Blake2b
english, 1994
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