paper

Kobayashi-Ochiai's finiteness theorem for orbifold pairs of general type

arXiv:2306.09123

Abstract

Kobayashi-Ochiai proved that the set of dominant maps from a fixed variety to a fixed variety of general type is finite. We prove the natural extension of their finiteness theorem to Campana's orbifold pairs.

19 pages. Lemma 2.5 in v1 was false and has been replaced by a weaker sufficient statement. Comments always welcome