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Holomorphic Curves with Deficiencies and the Uniqueness Problem

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Analysis, Applications, and Computations (ISAAC 2021)

Part of the book series: Trends in Mathematics ((RESPERSP))

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Abstract

In this note, we shall give an orverview of some results on holomorphic curves \(f:\mathbf {C}\to {\mathbf {P}}^n(\mathbf {C})\) with deficiencies. We first recall theorems on the structure of the set of deficient divisors and give some uniqueness theorems for holomorphic curves. We also discuss several methods for constructing holomorphic curves with deficiencies.

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References

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Acknowledgements

The author would like to thank the referees for their useful advice and valuable comments.

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Correspondence to Yoshihiro Aihara .

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Aihara, Y. (2023). Holomorphic Curves with Deficiencies and the Uniqueness Problem. In: Kähler, U., Reissig, M., Sabadini, I., Vindas, J. (eds) Analysis, Applications, and Computations. ISAAC 2021. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-36375-7_51

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