Totally geodesic subvarieties of the moduli space of curves and linear systems
Algebraic Geometry
2023-10-10 v1 Dynamical Systems
Abstract
We construct a linear system on a general curve in a totally geodesic subvariety of the moduli space of curves. As a consequence, we obtain rank bounds for totally geodesic subvarieties of dimension at least two. Furthermore, we classify totally geodesic subvarieties of dimension at least two in strata with at most two zeros.
Keywords
Cite
@article{arxiv.2310.05345,
title = {Totally geodesic subvarieties of the moduli space of curves and linear systems},
author = {Frederik Benirschke},
journal= {arXiv preprint arXiv:2310.05345},
year = {2023}
}