5 papers
Hyperplane arrangements in polymake
Lars Kastner, Marta Panizzut
Hyperplane arrangements form the latest addition to the zoo of combinatorial objects dealt with by polymake. We report on their implementation and on a algorithm to compute the ass…
An Octanomial Model for Cubic Surfaces
Marta Panizzut, Emre Can Sertöz, Bernd Sturmfels
We present a new normal form for cubic surfaces that is well suited for p-adic geometry, as it reveals the intrinsic del Pezzo combinatorics of the 27 trees in the tropicalization.…
On local Dressians of matroids
Jorge Alberto Olarte, Marta Panizzut, Benjamin Schröter
We study the fan structure of Dressians $\Dr(d,n)$ and local Dressians $\Dr(\cM)$ for a given matroid $\cM$. In particular we show that the fan structure on $\Dr(\cM)$ given by the…
K3 Polytopes and their Quartic Surfaces
Gabriele Balletti, Marta Panizzut, Bernd Sturmfels
K3 polytopes appear in complements of tropical quartic surfaces. They are dual to regular unimodular central triangulations of reflexive polytopes in the fourth dilation of the sta…
Brill-Noether theory of curves on : tropical and classical approach
Filip Cools, Michele D'Adderio, David Jensen +1
The gonality sequence of a smooth algebraic curve comprises the minimal degrees of linear systems of rank . We explain two approaches to compute the gonal…