Journal of the
Korean Mathematical Society JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008
qr-code QR
Code

Article

HOME ALL ARTICLES View

J. Korean Math. Soc. 2025; 62(1): 179-195

Online first article December 23, 2024      Printed January 1, 2025

https://doi.org/10.4134/JKMS.j230643

Copyright © The Korean Mathematical Society.

Weighted sums form of second main theorem on generalized $p$-parabolic manifolds for arbitrary closed subschemes

Tingbin Cao; Liang Wang; Chuanxi Zhu

Qilu Normal University; East China University of Technology; Nanchang University

Abstract

Go to

Our purpose in this paper is to prove the weighted sums form of second main theorem for the case of meromorphic mappings from p-parabolic manifolds into projective spaces with closed subschemes without any general position condition, it generalizes previous results by Han [4], Chen-Thin [3], Quang [13], and Cao-Wang [1].

Keywords: $p$-parabolic manifolds, Nevanlinna theory, Seshadri constants, second main theorem, closed subscheme

MSC numbers: 32H30, 32A22, 30D35

Supported by: This paper was partially supported by the National Natural Science Foundation of China (No. 11871260, 12461013 and No. 11771198), the Jiangxi Natural Science Foundation of China (No. 20232ACB201005, 20232BAB201003) and the Shandong Natural Science Foundation (No. ZR2024MA024).

Article Tools

Stats or Metrics

Share this article on :

Related articles in JKMS

more +