Second main theorem for meromorphic mappings on $p$-parabolic manifolds intersecting hypersurfaces in subgeneral position

Yuehuan Zhu

doi:10.4134/BKMS.b220769

Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2023; 60(6): 1621-1639

Online first article November 15, 2023 Printed November 30, 2023

https://doi.org/10.4134/BKMS.b220769

Second main theorem for meromorphic mappings on $p$-parabolic manifolds intersecting hypersurfaces in subgeneral position

Yuehuan Zhu

Anhui University of Technology

Abstract

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Abstract

In this paper, we give an improvement for the second main theorems of algebraically non-degenerate meromorphic maps from generalized $ p $-parabolic manifolds into projective varieties intersecting hypersurfaces in subgeneral position with some index, which extends the results of Han [6] and Chen-Thin [3].

Keywords: Second main theorem, $p$-parabolic manifold, index

MSC numbers: Primary 32H30

Supported by: We would like to acknowledge the financial support provided by
the Natural Science Research Project for Colleges and Universities of Anhui
Province (Nos. 2022AH050329, 2022AH050290).