Year: 2026
Type: preprint
Abstract: We give an explicit example of a fibration $f \colon X \to Y$ between smooth projective varieties whose "orbifold base" $Δ_f$ in the sense of Campana has the property that the induced morphism $X \to (Y, Δ_f)$ is not a morphism of C-pairs (i.e., it is not an "orbifold morphism"). We however also show that this cannot happen if $f$ is "neat" and $(Y, Δ_f)$ is sufficiently well-behaved. Finally, we discuss the implications of this statement towards conjectures of Campana aiming to give algebro-geometric characterizations of those varieties which either admit a dense entire curve or a potentially dense set of integral points.
Source: arXiv (Cornell University)
Author: Bartsch, Finn
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7134249662
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