| 书目名称 | Power Sums, Gorenstein Algebras, and Determinantal Loci | | 编辑 | Anthony Iarrobino,Vassil Kanev | | 视频video | | | 概述 | Includes supplementary material: | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | This book treats the theory of representations of homogeneous polynomials as sums of powers of linear forms. The first two chapters are introductory, and focus on binary forms and Waring‘s problem. Then the author‘s recent work is presented mainly on the representation of forms in three or more variables as sums of powers of relatively few linear forms. The methods used are drawn from seemingly unrelated areas of commutative algebra and algebraic geometry, including the theories of determinantal varieties, of classifying spaces of Gorenstein-Artin algebras, and of Hilbert schemes of zero-dimensional subschemes. Of the many concrete examples given, some are calculated with the aid of the computer algebra program "Macaulay", illustrating the abstract material. The final chapter considers open problems. This book will be of interest to graduate students, beginning researchers, and seasoned specialists. Prerequisite is a basic knowledge of commutative algebra and algebraic geometry. | | 出版日期 | Book 1999 | | 关键词 | Dimension; Grad; algebra; algebraic geometry; commutative algebra | | 版次 | 1 | | doi | https://doi.org/10.1007/BFb0093426 | | isbn_softcover | 978-3-540-66766-7 | | isbn_ebook | 978-3-540-46707-6Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer-Verlag Berlin Heidelberg 1999 |
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发表于 2025-3-21 18:44:25
