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A Second Main Theorem for Holomorphic Maps into the Projective Space with Hypersurfaces

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Abstract

In this paper, the study will focus on the hypersurfaces in the projective space located in subgeneral position. By considering the number of irreducible components of these hypersurfaces, a new second main theorem is established for algebraically non-degenerate holomorphic maps from \(\mathbb {C}\) into the projective space with truncated counting functions. Moreover, as the counterpart of this second main theorem, a Schmidt’s subspace type theorem in Diophantine approximation is also given for this case.

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Authors and Affiliations

  1. School of Mathematical Sciences, Guizhou Normal University, Guiyang, 550025, People’s Republic of China

    Lei Shi

  2. School of Mathematical Sciences, Tongji University, Shanghai, 200092, People’s Republic of China

    Qiming Yan

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  1. Lei Shi
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  2. Qiming Yan
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Correspondence to Lei Shi.

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Lei Shi was supported by National Natural Science Foundation of China (Grant No. 12161018).

Qiming Yan was supported by National Natural Science Foundation of China (Grant No. 11971353)

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Shi, L., Yan, Q. A Second Main Theorem for Holomorphic Maps into the Projective Space with Hypersurfaces. J Geom Anal 32, 85 (2022). https://doi.org/10.1007/s12220-021-00751-9

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  • DOI: https://doi.org/10.1007/s12220-021-00751-9

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