Plücker formulae for curves in high dimensions (Q2390614)

Summary: The classical relations of Plücker between the invariants and singularities of a plane curve can be expressed as two linear relations and two involving quadratic terms. The linear relations were generalised to curves in \(n\)-space already in the nineteenth century, but true generalisations of the others were obtained only in \(3\)-space. In this article, using the classical method of correspondences, we obtain formulae in \(n\)-space corresponding to the original ones in the plane.