5 papers
Tropical elliptic curves in 3-space
Laura Casabella, Lars Kastner, Raluca Vlad
We classify trivalent graphs with 16 vertices and 16 edges that arise from intersecting two quadratic surfaces in tropical 3-space. There are 4,009 such graphs, representing maxima…
Wronski Pairs of Honeycomb Curves
Laura Casabella, Michael Joswig, Rafael Mohr
We study certain generic systems of real polynomial equations associated with triangulations of convex polytopes and investigate their number of real solutions. Our main focus is s…
Subdivisions of Hypersimplices: with a View Toward Finite Metric Spaces
Laura Casabella, Michael Joswig, Lars Kastner
The secondary fan is a polyhedral fan which stratifies the regular subdivisions of the hypersimplices . We find new infinite families of rays of , and we c…
Apéry sets and the ideal class monoid of a numerical semigroup
Laura Casabella, Marco D'Anna, Pedro A. García-Sánchez
The aim of this article is to study the ideal class monoid of a numerical semigroup introduced by V. Barucci and F. Khouja. We prove new bounds on the card…
Almost symmetric good semigroups
Laura Casabella, Marco D'Anna
The class of good semigroups is a class of subsemigroups of , that includes the value semigroups of rings associated to curve singularities and their blowups, and allows to st…