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Meromorphic Mappings into Projective Varieties with Arbitrary Families of Moving Hypersurfaces

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Abstract

In this paper, we prove a general second main theorem for meromorphic mappings into a subvariety V of \({{\mathbb {P}}}^N({{\mathbb {C}}})\) with an arbitrary family of moving hypersurfaces. Our second main theorem generalizes and improves all previous results for meromorphic mappings with moving hypersurfaces, in particular for meromorphic mappings and families of moving hypersurfaces in subgeneral position. The method of our proof is different from that of previous authors used for the case of moving hypersurfaces.

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Acknowledgements

The author would like to thank the referees for their helpful comments and suggestions on the first version of this paper.

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

    Duc Quang Si

  2. Thang Long Institute of Mathematics and Applied Sciences, Nghiem Xuan Yem, Hoang Mai, HaNoi, Vietnam

    Duc Quang Si

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  1. Duc Quang Si
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Correspondence to Duc Quang Si.

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Si, D.Q. Meromorphic Mappings into Projective Varieties with Arbitrary Families of Moving Hypersurfaces. J Geom Anal 32, 52 (2022). https://doi.org/10.1007/s12220-021-00765-3

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  • DOI: https://doi.org/10.1007/s12220-021-00765-3

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