The differential equation satisfied by a plane curve of degree nReport as inadecuate




The differential equation satisfied by a plane curve of degree n - Download this document for free, or read online. Document in PDF available to download.

1 LIGM - Laboratoire d-Informatique Gaspard-Monge

Abstract : Eliminating 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.

keyword : differential invariants Monge equation differential invariants.





Author: Alain Lascoux -

Source: https://hal.archives-ouvertes.fr/



DOWNLOAD PDF




Related documents