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

Min Ru and Julie Tzu-Yueh Wang

Vol. 338 (2025), No. 2, 349–371
Abstract

We study the defect relation through the GCD method. In particular, among other results, we extend the defect relation result of Chen, Huynh, Sun and Xie (2025) 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.

Keywords
defect, hyper surfaces, moving targets, GCD methods
Mathematical Subject Classification
Primary: 30D35
Secondary: 32H30, 32Q45
Milestones
Received: 16 April 2024
Revised: 10 June 2025
Accepted: 3 July 2025
Published: 24 August 2025
Authors
Min Ru
Department of Mathematics
University of Houston
Houston, TX
United States
Julie Tzu-Yueh Wang
Institute of Mathematics
Academia Sinica
Taipei
Taiwan

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