30 citations · 169 across the 28 of their papers we have counts for
5 papers · 1 filter
Secant varieties of toric varieties arising from simplicial complexes
M. Azeem Khadam, Mateusz Michałek, Piotr Zwiernik
Motivated by the study of the secant variety of the Segre-Veronese variety we propose a general framework to analyze properties of the secant varieties of toric embeddings of affin…
Exponential Varieties
Mateusz Michałek, Bernd Sturmfels, Caroline Uhler +1
Exponential varieties arise from exponential families in statistics. These real algebraic varieties have strong positivity and convexity properties, familiar from toric varieties a…
Cremona linearizations of some classical varieties
Ciro Ciliberto, Maria Angelica Cueto, Massimiliano Mella +2
In this paper we present an effective method for linearizing rational varieties of codimension at least two under Cremona transformations, starting from a given parametrization. Us…
Tensors of Nonnegative Rank Two
Elizabeth S. Allman, John A. Rhodes, Bernd Sturmfels +1
A nonnegative tensor has nonnegative rank at most 2 if and only if it is supermodular and has flattening rank at most 2. We prove this result, then explore the semialgebraic geomet…
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…