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Defect relation of $n+1$ components through the GCD method]

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arxiv 2410.19391 v1 pith:MECOUJ3Z submitted 2024-10-25 math.CV

Min Ru , Julie Tzu-Yueh Wang This is my paper · ORCID
classification math.CV
keywords defectrelationmethodchencomponentsconsiderationdegeneracydetermined
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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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  1. Campana's orbifold conjecture for numerically equivalent divisors

    math.CV 2025-06 conditional novelty 7.0 of 10

    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 co...

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