The differential equation satisfied by a plane curve of degree n

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dc.creatorLascoux, Alain
dc.date2006-02-17
dc.date.accessioned2026-07-07T07:03:32Z
dc.date.available2026-07-07T07:03:32Z
dc.descriptionEliminating the arbitrary coefficients in the equation of a generic plane curve of order $n$ by computing sufficiently many derivatives, one obtains a differential equation. This is a projective invariant. The first one, corresponding to conics, has been obtained by Monge. Sylvester, Halphen, Cartan used invariants of higher order. The expression of these invariants is rather complicated, but becomes much simpler when interpreted in terms of symmetric functions.
dc.identifierhttps://arxiv.org/abs/math/0602380
dc.identifierhttp://arxiv.org/abs/math/0602380
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/109010
dc.subjectCombinatorics
dc.subjectCombinatorics; Differential Equations
dc.titleThe differential equation satisfied by a plane curve of degree n
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