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eBook Power Sums, Gorenstein Algebras, and Determinantal Loci ePub

eBook Power Sums, Gorenstein Algebras, and Determinantal Loci ePub

by Anthony Iarrobino,A. Iarrobino,S.L. Kleiman,Vassil Kanev

  • ISBN: 3540667660
  • Category: Mathematics
  • Subcategory: Math Science
  • Author: Anthony Iarrobino,A. Iarrobino,S.L. Kleiman,Vassil Kanev
  • Language: English
  • Publisher: Springer; 1999 edition (May 15, 2000)
  • Pages: 345
  • ePub book: 1229 kb
  • Fb2 book: 1443 kb
  • Other: docx lrf lrf mbr
  • Rating: 4.4
  • Votes: 479

Description

This book treats the theory of representations of homogeneous polynomials as sums of powers of linear forms

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. 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. The final chapter considers open problems.

Anthony larrobino Vassil Kanev Power Sums, Gorenstein Algebras, and Determinantal Loci With an Appendix The Gotzmann Theorems and the Hilbert Scheme by Anthony larrobino and Steven L. Kleiman ffl Springer. Authors Anthony larrobino Mathematics Department Northeastern University Boston, MA 02115, USA E-mail: [email protected]

Vassil Kanev (Author), A. Iarrobino (Contributor), . Kleiman (Contributor) & 1 more has been added to your Cart. Kleiman (Contributor) & 1 more. ISBN-13: 978-3540667667 has been added to your Cart.

by Anthony A. Iarrobino(Author), Vassil Kanev(Author).

Would you like to see only ebooks? Power sums, Gorenstein algebras, and determinantal loci. by Anthony Iarrobino, Vassil Kanev, A. Iarrobino, .

Title: Power Sums, Gorenstein Algebras, and Determinantal Loci. Publisher: Springer-Verlag Berlin Heidelberg. Series: Lecture Notes in Mathematics 1721. Author: Anthony Iarrobino, Vassil Kanev (auth. Year: published in 1999. Summary: 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.

This book treats the theory of representations of homogeneous polynomials as sums of powers of linear forms

This book treats the theory of representations of homogeneous polynomials as sums of powers of linear forms.

Power sums, Gorenstein algebras, and determinantal loci

Power sums, Gorenstein algebras, and determinantal loci. Anthony A. Iarrobino, Vassil Kanev, Steven Lawrence Kleiman. Forms and catalecticant matrices. Sums of powers of linear forms, and gorenstein algebras. Tangent spaces to catalecticant schemes. The locus PS(s, j r) of sums of powers, and determinantal loc. More).

This book treats the theory of representations of homogeneous polynomials as sums of powers of linear forms. 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.

Iarrobino . Kanev V. - Power Sums, Gorenstein Algebras, and Determinantal Loci. Читать книгу бесплатно. Скачать книгу с нашего сайта нельзя. Обсудите книгу на. Нашли опечатку? Выделите ее мышкой и нажмите Ctrl+Enter. This book treats the theory of representations of homogeneous polynomials as sums of powers of linear forms.

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.