88 citations · 120 across the 11 of their papers we have counts for
12 papers
On the locus of points of high rank
Jarosław Buczyński, Kangjin Han, Massimiliano Mella +1
Given a closed subvariety X in a projective space, the rank with respect to X of a point p in this projective space is the least integer r such that p lies in the linear span of so…
Some examples of forms of high rank
Jarosław Buczyński, Zach Teitler
We describe some forms with greater Waring rank than previous examples. In variables we give forms of odd degree with strictly greater rank than the ranks of monomials, the pre…
Contact Moishezon threefolds with second Betti number one
Jaroslaw Buczynski, Thomas Peternell
We prove that the only contact Moishezon threefold having second Betti number equal to one is the projective space.
On the third secant variety
Jarosław Buczyński, J. M. Landsberg
We determine normal forms and ranks of tensors of border rank at most three. We present a differential-geometric analysis of limits of secant planes in a more general context. In p…
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…
Determinantal equations for secant varieties and the Eisenbud-Koh-Stillman conjecture
Jarosław Buczyński, Adam Ginensky, J. M. Landsberg
We address special cases of a question of Eisenbud on the ideals of secant varieties of Veronese re-embeddings of arbitrary varieties. Eisenbud's question generalizes a conjecture…