45 citations · 160 across the 27 of their papers we have counts for
32 papers
An improved upper bound for the Waring rank of the determinant
Garritt Johns, Zach Teitler
The Waring rank of the generic determinant is bounded above by . This improves previous upper bounds, which were of the form an exponential times the facto…
A bound for the Waring rank of the determinant via syzygies
Mats Boij, Zach Teitler
We show that the Waring rank of the determinant, previously known to be between and , is at least . We use syzygies of the apolar ideal, which have not be…
Unexpected hypersurfaces and where to find them
B. Harbourne, J. Migliore, U. Nagel +1
In a recent paper by Cook, et al., which introduced the concept of unexpected plane curves, the focus was on understanding the geometry of the curves themselves. Here we expand the…
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…
The Hilbert scheme of 11 points in A^3 is irreducible
Theodosios Douvropoulos, Joachim Jelisiejew, Bernt Ivar Utstøl Nødland +1
We prove that the Hilbert scheme of 11 points on a smooth threefold is irreducible. In the course of the proof, we present several known and new techniques for producing curves on…
Sufficient conditions for Strassen's additivity conjecture
Zach Teitler
We give a sufficient condition for the strong symmetric version of Strassen's additivity conjecture: the Waring rank of a sum of forms in independent variables is the sum of their…