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  1. Home
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  3. Lectures on the Asymptotic Theory of Ideals
  • Cited by 18
Publisher:
Cambridge University Press
Online publication date:
September 2009
Print publication year:
1988
Online ISBN:
9780511525957
DOI:
https://doi.org/10.1017/CBO9780511525957
Subjects:
Mathematics (general), Mathematics, Algebra
Series:
London Mathematical Society Lecture Note Series (113)
Information

Book description

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.

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