Herman Servatius

collaborators

3 papers

math.CO2025

Liftings of surfaces in the plane

Oleg Karpenkov, Brigitte Servatius, Herman Servatius

In this note we provide a topological definition of Maxwell-Cremona liftings for non-planar frameworks of surfaces (both oriented and non-oriented). In the non-oriented case we giv…

math.CO2025

Counting for rigidity under projective transformations in the plane

Leah Wrenn Berman, Signe Lundqvist, Bernd Schulze +4

Let $P$ be a set of points and $L$ a set of lines in the (extended) Euclidean plane, and $I \subseteq P \times L$ , where $i = (p, l) \in I$ means that point $p$ and line $l$ are incid…

math.MG2025

Projective rigidity of point-line configurations in the plane

Leah Berman, Signe Lundqvist, Bernd Schulze +4

In this paper, we establish a general setup for studying incidence-preserving motions of projective geometric configurations of points and lines via a "projective rigidity matrix".…