Finiteness results for hyperbolic orbifold pairs
Algebraic Geometry
2024-10-23 v1 Complex Variables
Abstract
Noguchi proved that the set of dominant maps from a fixed variety to a fixed hyperbolic variety is finite. We extend this result to the setting of orbifold pairs, as introduced by Campana, under suitable assumptions. Certain compactness properties also allow us to prove that the set of orbifold pointed maps and the orbifold automorphism group are finite.
Cite
@article{arxiv.2410.16766,
title = {Finiteness results for hyperbolic orbifold pairs},
author = {Laurine Weibel},
journal= {arXiv preprint arXiv:2410.16766},
year = {2024}
}