4 papers
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…
Standard monomial theory modulo Frobenius in characteristic two
Laura Casabella, Teresa Yu
Over a field of characteristic two, we develop a theory of standard monomials for polynomial rings modulo a Frobenius power of the maximal ideal generated by all variables. As a re…
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…