29 citations · 47 across the 4 of their papers we have counts for
5 papers
On differences between the border rank and the smoothable rank of a polynomial
Weronika Buczyńska, Jarosław Buczyński
We consider higher secant varieties to Veronese varieties. Most points on the r-th secant variety are represented by a finite scheme of length r contained in the Veronese variety -…
On the graph labellings arising from phylogenetics
Weronika Buczyńska, Jarosław Buczyński, Kaie Kubjas +1
We study semigroups of labellings associated to a graph. These generalize the Jukes-Cantor model and phylogenetic toric varieties defined by Buczyńska. Our main theorem bounds the…
Phylogenetic toric varieties on graphs
Weronika Buczyńska
We define phylogenetic projective toric model of a trivalent graph as a generalization of a binary symmetric model of a trivalent phylogenetic tree. Generators of the pro- jective…
Fake weighted projective spaces
Weronika Buczynska
We define fake weighted projective spaces as a generalisation of weighted projective spaces. We introduce the notions of fundamental group in codimension 1 and of universal coverin…
On phylogenetic trees - a geometer's view
Weronika Buczynska, Jaroslaw A. Wisniewski
We investigate projective varieties which are geometric models of binary symmetric phylogenetic 3-valent trees. We prove that these varieties have Gorenstein terminal singularities…