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A note on the uniqueness problem of non-Archimedean holomorphic curves

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Abstract

We prove a uniqueness theorem for non-Archimedean linearly nondegenerate holomorphic curves in projective spaces of dimension \(n\) with two families of \((2n+2)\) hyperplanes in general position. Our result strongly generalizes the uniqueness theorem with \((3n+1)\) hyperplanes of Ru in [11].

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Acknowledgments

The authors would like to thank the referee for valuable and kind comments. The first named author is partially supported by the Mathematisches Forschungsinstitut Oberwolfach, Germany and the Institut des Hautes Études Scientifiques, France. This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under Grant Number 101.02-2011.27.

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  1. Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy Street, Cau Giay, Hanoi, Vietnam

    Tran Van Tan & Bui Khanh Trinh

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  1. Tran Van Tan
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  2. Bui Khanh Trinh
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Correspondence to Tran Van Tan.

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Tan, T.V., Trinh, B.K. A note on the uniqueness problem of non-Archimedean holomorphic curves. Period Math Hung 68, 92–99 (2014). https://doi.org/10.1007/s10998-014-0017-4

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