Campana rational connectedness conjecture for klt Campana orbifolds

Prove that every klt Campana orbifold over a field of characteristic zero whose log anticanonical divisor is ample is Campana rationally connected.

Background

The paper formulates the orbifold analogue of the rational connectedness theorem for Fano manifolds and klt log Fano pairs. A klt Campana orbifold is considered with a boundary whose coefficients are standard Campana coefficients, and Campana rational connectedness means that two general points are connected by a dominating family of genus-zero Campana curves.

The conjecture is not known in general: the paper lists only a few established cases, including certain equal-multiplicity situations, toric Campana orbifolds with torus-invariant boundary, and some orbifolds admitting fibrations. The classification in the paper proves the conjecture for the relevant low-degree del Pezzo orbifolds, but does not resolve the general statement.