On Waring's problem for several homogeneous forms

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We reconsider the classical problem of representing a finite number of forms of degree d in n+1 variables as sums of powers of linear forms. We define a geometric construct called a `grove', which, in a number of cases allows us to determine the dimension of the space of forms which can be so represented. We also present two new `exceptional' examples, where this dimension is less than what a naive parameter count would predict.
LaTeX, 26 pages

Keywords

Algebraic Geometry, 14N15,51N35

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/62867

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0112110
 http://arxiv.org/abs/math/0112110

Collections

arXiv