Year: 2026
Type: preprint
Abstract: Let C be a non-singular real algebraic curve of genus g. The real structure on C induces a real structure on the configuration space of n distinct unlabeled points on C. We prove that this configuration space is maximal (in the sense of the Smith-Thom inequality) if and only if C is maximal or the genus of C is zero and n is even.
Source: arXiv (Cornell University)
Author: Demory, Aloïs
Institution: University of Tübingen
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Deutsche Forschungsgemeinschaft
OpenAlex ID: W7214759347