4 papers
Counting symmetric unimodular triangulations
Kamillo Ferry, Michael Joswig, Jörg Rambau
The objects of study are triangulations of the dilated standard triangle in the plane. Motivated by work on T-curves (Geiselmann et al., 2026), the focus lies on unimodular triangu…
Fast Isotopy Computation for T-Curves
Zoe Geiselmann, Michael Joswig, Lars Kastner +5
A T-curve of degree is given by a regular unimodular triangulation of together with a sign distribution on its lattice points. By Viro's Patchworking Theorem, th…
Drawing real plane algebraic curves in OSCAR
Anne Frühbis-Krüger, Michael Joswig, Lars Kastner
We show how the computer algebra system OSCAR can be used to obtain topologically correct or visually pleasing drawings of real plane algebraic curves.
Limits of combinatorial patchworking
Zoe Geiselmann, Michael Joswig, Lars Kastner +5
It is shown that there are real plane algebraic curves of degree eight that cannot be realized as T-curves, i.e., via combinatorial patchworking. In fact, this holds for several re…