Ask a Question

Prefer a chat interface with context about you and your work?

Dynamical systems on some elliptic modular surfaces via operators on line arrangements

Dynamical systems on some elliptic modular surfaces via operators on line arrangements

This paper further studies the matroid realization space of a specific deformation of the regular $n$-gon with its lines of symmetry. Recently, we obtained that these particular realization spaces are birational to the elliptic modular surfaces $\Xi_{1}(n)$ over the modular curve $X_1(n)$. Here, we focus on the peculiar cases when …