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Lectures on the Asymptotic Theory of Ideals : London Mathematical Society Lecture Note Series - D. Rees

Lectures on the Asymptotic Theory of Ideals

London Mathematical Society Lecture Note Series

By: D. Rees

Paperback Published: 17th April 1989
ISBN: 9780521311274
Number Of Pages: 216

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In this book Professor Rees introduces and proves some of the main results of the asymptotic theory of ideals. The author's aim is to prove his Valuation Theorem, Strong Valuation Theorem, and Degree Formula, and to develop their consequences. The last part of the book is devoted to mixed multiplicities. Here the author develops his theory of general elements of ideals and gives a proof of a generalised degree formula. The reader is assumed to be familiar with basic commutative algebra, as covered in the standard texts, but the presentation is suitable for advanced graduate students. The work is an expansion of lectures given at Nagoya University.

Graded rings and modules
Filtrations and noether filtrations
The theorems of matijevic and mori-nagata
The valuation theorem
The strong valuation theorem
Ideal valuations (1)
Ideal valuations (2)
The multiplicity function associated with a filtration
The degree function of a noether filtration
The general extension of a local ring
General elements
Mixed multiplicities and the generalised degree formula
Index of symbols
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521311274
ISBN-10: 0521311276
Series: London Mathematical Society Lecture Note Series
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 216
Published: 17th April 1989
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 1.3
Weight (kg): 0.32

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