01860nam a22003378a 4500001001600000003000700016005001700023006001900040007001500059008004100074020002600115020003000141040002400171050002200195082001500217100002300232245006000255260005200315264005200367300005900419336002600478337002600504338003600530490006300566500007300629520066000702776003501362786001401397830006401411856004701475CR9780511525957UkCbUP20160624102254.0m|||||o||d||||||||cr||||||||||||090406s1988||||enk s ||1 0|eng|d a9780511525957 (ebook) z9780521311274 (paperback) aUkCbUPcUkCbUPerda00aQA247 b.R39 198800a512/.42191 aRees, D.,eauthor.10aLectures on the Asymptotic Theory of Ideals /cD. Rees. 1aCambridge :bCambridge University Press,c1988. 1aCambridge :bCambridge University Press,c1988. a1 online resource (216 pages) :bdigital, PDF file(s). atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier0 aLondon Mathematical Society Lecture Note Series ;vno. 113 aTitle from publisher's bibliographic system (viewed on 16 Oct 2015). aIn 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.08iPrint version: z9780521311274 dCambridge 0aLondon Mathematical Society Lecture Note Series ;vno. 113.40uhttp://dx.doi.org/10.1017/CBO9780511525957