The paper proves that orbifold entire curves on projective varieties with numerically parallel boundary divisors and sufficiently high multiplicity must be algebraically degenerate, a new case of Campana's orbifold conjecture.
Defect relation of $n+1$ components through the GCD method]
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abstract
This paper studies the defect relation through the GCD method. In particular, among other results, we extend the defect relation result of Chen, Huynh, Sun and Xie to moving targets. The truncated defect relation is also studied. Furthermore, we obtain the degeneracy locus, which can be determined effectively and is independent of the maps under the consideration.
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Campana's orbifold conjecture for numerically equivalent divisors
The paper proves that orbifold entire curves on projective varieties with numerically parallel boundary divisors and sufficiently high multiplicity must be algebraically degenerate, a new case of Campana's orbifold conjecture.