6 citations · 17 across the 10 of their papers we have counts for
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Simplices osculating rational normal curves
Alessio Caminata, Enrico Carlini, Luca Schaffler
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…
Determinantal varieties from point configurations on hypersurfaces
Alessio Caminata, Han-Bom Moon, Luca Schaffler
We consider the scheme parametrizing ordered points in projective space that lie on a common hypersurface of degree . We show that this scheme has…
Point configurations, phylogenetic trees, and dissimilarity vectors
Alessio Caminata, Noah Giansiracusa, Han-Bom Moon +1
In 2004 Pachter and Speyer introduced the higher dissimilarity maps for phylogenetic trees and asked two important questions about their relation to the tropical Grassmannian. Mult…
A Pascal's Theorem for rational normal curves
Alessio Caminata, Luca Schaffler
Pascal's Theorem gives a synthetic geometric condition for six points in to lie on a conic. Namely, that the intersection points $\overline{ab}\cap\over…
Equations for point configurations to lie on a rational normal curve
Alessio Caminata, Noah Giansiracusa, Han-Bom Moon +1
The parameter space of ordered points in projective -space that lie on a rational normal curve admits a natural compactification by taking the Zariski closure in $(\mathbb{P…