Lectures on the Asymptotic Theory of Ideals / D. Rees.
Material type: TextSeries: London Mathematical Society Lecture Note Series ; no. 113Publisher: Cambridge : Cambridge University Press, 1988Description: 1 online resource (216 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9780511525957 (ebook)Additional physical formats: Print version: : No titleDDC classification: 512/.4 LOC classification: QA247 | .R39 1988Online resources: Click here to access online Summary: 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.Current library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
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IMSc Library | IMSc Library | Link to resource | Available | EBK11913 |
Title from publisher's bibliographic system (viewed on 16 Oct 2015).
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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