Abstract
In this paper, we prove a general second main theorem for meromorphic map**s 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 map**s with moving hypersurfaces, in particular for meromorphic map**s 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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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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Si, D.Q. Meromorphic Map**s 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
Keywords
- Nevanlinna theory
- Second main theorem
- Meromorphic map**
- Hypersurface
- Homogeneous polynomial
- Subgeneral position