| Arithmetic of Blowup Algebras Contributor(s): Vasconcelos, Wolmer V. (Author) |
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ISBN: 0521454840 ISBN-13: 9780521454841 Publisher: Cambridge University Press OUR PRICE: $62.69 Product Type: Paperback - Other Formats Published: February 1994 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Group Theory - Mathematics | Algebra - General |
| Dewey: 512.24 |
| LCCN: 94172399 |
| Series: London Mathematical Society Lecture Notes |
| Physical Information: 0.74" H x 6.04" W x 9.03" (1.08 lbs) 340 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |