Bulletin of the
Korean Mathematical Society
BKMS

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

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Bull. Korean Math. Soc. 2020; 57(5): 1195-1204

Online first article March 3, 2020      Printed September 30, 2020

https://doi.org/10.4134/BKMS.b190865

Copyright © The Korean Mathematical Society.

on the defects of holomorphic curves

Liu Yang, Ting Zhu

Anhui University of Technology; Anhui University of Technology

Abstract

In this paper we consider the holomorphic curves (or derived holomorphic curves introduced by Toda in~\cite{T94}) with maximal defect sum in the complex plane. Some well-known theorems on meromorphic functions of finite order with maximal sum of defects are extended to holomorphic curves in projective space.

Keywords: Holomorphic curve, maximum defect sum, characteristic func\-tion

MSC numbers: Primary 32H30, 30D35

Supported by: This work was financially supported by NNSF of China (11701006), and also by NSF of Anhui Province (1808085QA02), China

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