On Waring's problem for several homogeneous forms

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dc.creatorCarlini, Enrico
dc.creatorChipalkatti, Jaydeep
dc.date2001-12-12
dc.date.accessioned2026-07-07T04:45:11Z
dc.date.available2026-07-07T04:45:11Z
dc.descriptionWe 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.
dc.descriptionLaTeX, 26 pages
dc.identifierhttps://arxiv.org/abs/math/0112110
dc.identifierhttp://arxiv.org/abs/math/0112110
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62867
dc.subjectAlgebraic Geometry
dc.subject14N15,51N35
dc.titleOn Waring's problem for several homogeneous forms
dc.typetext

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