Holomorphic mappings into compact complex manifolds

TL;DR

This paper establishes a second main theorem with explicit truncation levels for holomorphic maps from complex lines or Riemann surfaces into compact complex manifolds, focusing on shared divisors in subgeneral position.

Contribution

It provides a new second main theorem with explicit truncation levels for holomorphic mappings into compact complex manifolds, extending value distribution theory.

Findings

Second main theorem with explicit truncation levels

Applicable to holomorphic maps from complex lines or Riemann surfaces

Addresses divisors in subgeneral position

Abstract

The purpose of this article is to show a second main theorem with the explicit truncation level for holomorphic mappings of $ \mathbb{C} $ (or of a compact Riemann surface) into a compact complex manifold sharing divisors in subgeneral position.