Year: 2026
Type: preprint
Abstract: We prove that the orbifold fundamental group of the moduli space of smooth complex cubic surfaces is a hierarchically hyperbolic group. This places it within a powerful geometric framework whose prototypical examples are mapping class groups. The proof uses a known incomplete complex hyperbolic metric on the moduli space, and applies in a broader setting which includes a number of other moduli spaces.
Source: arXiv (Cornell University)
Authors: Allcock, Daniel, Wright, Alex
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7213223904