2 citations · 3 across the 4 of their papers we have counts for
4 papers
Singular hypersurfaces possessing infinitely many star points
Filip Cools, Marc Coppens
We prove that a component of the closure of the set of star points on a hypersurface X of degree d>2 in N-dimensional projective space is linear. Afterwards, we focus on the case w…
On the relation between weighted trees and tropical Grassmannians
Filip Cools
In this article, we will prove that the set of 4-dissimilarity vectors of n-trees is contained in the tropical Grassmannian G_{4,n}. We will also propose three equivalent conjectur…
Star points on smooth hypersurfaces
Filip Cools, Marc Coppens
A point P on a smooth hypersurface X of degree d in an N-dimensional projective space is called a star point if and only if the intersection of X with the embedded tangent space T_…
A tropical interpretation of m-dissimilarity maps
C. Bocci, F. Cools
Let T be a weighted tree with n numbered leaves and let D be its distance matrix, so D(i,j) is the distance between the leaves i and j. If m is an integer between 2 and n, we prove…