Year: 2025
Type: article
Abstract: A classical result of von Staudt states that if eight planes osculate a twisted cubic curve and we divide them into two groups of four, then the eight vertices of the corresponding tetrahedra lie on a twisted cubic curve. In the current paper, we give an alternative proof of this result using modern tools, and at the same time we prove the analogous result for rational normal curves in any projective space. This higher dimensional generalization was claimed without proof in a paper of H.S. White in 1921.
Source: Vietnam Journal of Mathematics
Institutions: University of Genoa, Politecnico di Torino, Roma Tre University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,290
Awards: G1191219386, G1401212586, G231133531, G2405171568, G2524174058, G2701445157, G2791095242, G2929374385, Squarefree Gröbner degenerations, special varieties and related topics, G4488344675, G4973147579, G5245466801, G5465125451, G5622661325, G5796505130, G598502428, G6488394120, G8013531025, G912668888, G972786147
OpenAlex ID: W4409454783