Power sums, Gorenstein algebras, and determinantal loci

＜図書＞
Power sums, Gorenstein algebras, and determinantal loci

責任表示	Anthony Iarrobino, Vassil Kanev
シリーズ	Lecture notes in mathematics ; 1721
データ種別	図書
出版情報	Berlin : Springer , c1999
本文言語	英語
大きさ	xxxi, 345 p. : ill. ; 24 cm
概要	This book treats the theory of representations of homogeneous polynomials as sums of powers of linear forms. The first two chapters are introductory & focus on binary forms & Waring's problem. Then th... 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 & algebraic geometry, including the theories of determining varieties, of classifying spaces of Gorenstein-Artin algebra & 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 & seasoned specialists. Prerequisite is a basic knowledge of commutative algebra & algebraic geometry. 続きを見る
電子版へのリンク	https://hdl.handle.net/2324/7007121

一般注記	"With an appendix, The Gotzmann theorems and the Hilbert scheme, by Anthony Iarrobino and Steven L. Kleiman" Includes bibliographical references (p. [319]-334) and indexes
著者標目	*Iarrobino, Anthony A. (Anthony Ayers), 1943- Kanev, Vassil, 1954- Kleiman, Steven L.
件　名	LCSH:Catalecticant matrices LCSH:Determinantal varieties LCSH:Hilbert schemes
分　類	LCC:QA3 LCC:QA564 DC21:510 s DC21:516.3/5
書誌ID	1001237332
ISBN	3540667660
NCID	BA44730558
巻冊次	ISBN:3540667660
登録日	2009.09.18
更新日	2017.02.18