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Fano orbifolds admit free Campana curves

Lehmann, Brian et al.
arXiv (All) · Papers
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algebraic-geometry
We prove that any Fano orbifold admits a free Campana curve in the sense of Campana. Moreover, assuming that any klt log Fano pair admits a very free rational curve in its smooth locus, we prove that any Fano orbifold is Campana rationally connected. As an application, we prove the finiteness of the
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