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Lectures on the Asymptotic Theory of Ideals.

Lectures on the Asymptotic Theory of Ideals.

・ISBN 978-0-521-31127-4 paper GB£ 62.00

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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-0-511-52595-7

著者・編者Rees, D.,
シリーズLondon Mathematical Society Lecture Note Series
出版社(Cambridge University Press, UK)
出版年月1988
ページ数216 pp.
言語ENG
ニュース番号<M25-8689>

解説

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.