Connectedness of the moduli space of all reduced curves
Algebraic Geometry
2026-03-13 v3
Abstract
Using moduli of equinormalized curves and Ishii's theory of territories, we prove that the moduli stack of all reduced n-pointed algebraic curves of fixed arithmetic genus is connected.
Cite
@article{arxiv.2407.07657,
title = {Connectedness of the moduli space of all reduced curves},
author = {Sebastian Bozlee},
journal= {arXiv preprint arXiv:2407.07657},
year = {2026}
}
Comments
9 pages, revised in light of revisions of arXiv:2307.10013