| 書目名稱 | Power Sums, Gorenstein Algebras, and Determinantal Loci | | 編輯 | Anthony Iarrobino,Vassil Kanev | | 視頻video | http://file.papertrans.cn/753/752595/752595.mp4 | | 概述 | Includes supplementary material: | | 叢書名稱 | Lecture Notes in Mathematics | | 圖書封面 |  | | 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 | | 關鍵詞 | 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 |
The information of publication is updating
書目名稱Power Sums, Gorenstein Algebras, and Determinantal Loci影響因子(影響力)
書目名稱Power Sums, Gorenstein Algebras, and Determinantal Loci影響因子(影響力)學科排名
書目名稱Power Sums, Gorenstein Algebras, and Determinantal Loci網(wǎng)絡公開度
書目名稱Power Sums, Gorenstein Algebras, and Determinantal Loci網(wǎng)絡公開度學科排名
書目名稱Power Sums, Gorenstein Algebras, and Determinantal Loci被引頻次
書目名稱Power Sums, Gorenstein Algebras, and Determinantal Loci被引頻次學科排名
書目名稱Power Sums, Gorenstein Algebras, and Determinantal Loci年度引用
書目名稱Power Sums, Gorenstein Algebras, and Determinantal Loci年度引用學科排名
書目名稱Power Sums, Gorenstein Algebras, and Determinantal Loci讀者反饋
書目名稱Power Sums, Gorenstein Algebras, and Determinantal Loci讀者反饋學科排名
|
|
|
|Archiver|手機版|小黑屋|
派博傳思國際
( 京公網(wǎng)安備110108008328)
GMT+8, 2025-10-13 05:25
發(fā)表于 2025-3-21 18:44:25
