40 citations · 460 across the 64 of their papers we have counts for
4 papers · 1 filter
Smooth monomial Togliatti systems of cubics
Mateusz Michałek, Rosa-Maria Miró-Roig
The goal of this paper is to solve the conjecture stated in a paper of Mezzetti, Miró-Roig, Ottaviani and classify all smooth minimal monomial Togliatti systems of cubics. More pre…
Very ample and Koszul segmental fibrations
Matthias Beck, Jessica Delgado, Joseph Gubeladze +1
In the hierarchy of structural sophistication for lattice polytopes, normal polytopes mark a point of origin; very ample and Koszul polytopes occupy bottom and top spots in this hi…
On the toric ideal of a matroid
Michał Lasoń, Mateusz Michałek
Describing minimal generating set of a toric ideal is a well-studied and difficult problem. In 1980 White conjectured that the toric ideal associated to a matroid is equal to the i…
Secant cumulants and toric geometry
Mateusz Michalek, Luke Oeding, Piotr Zwiernik
We study the secant line variety of the Segre product of projective spaces using special cumulant coordinates adapted for secant varieties. We show that the secant variety is cover…