# A second main theorem for holomorphic curve intersecting hypersurfaces

## TL;DR

This paper proves a second main theorem for holomorphic curves intersecting hypersurfaces in projective space, advancing the understanding of value distribution and uniqueness problems in complex geometry.

## Contribution

It introduces a new second main theorem with truncation levels for holomorphic curves intersecting hypersurfaces in general position.

## Key findings

- Established a second main theorem for holomorphic curves and hypersurfaces
- Reduced the number of hypersurfaces needed in a uniqueness problem
- Provided new tools for value distribution theory in complex geometry

## Abstract

In this paper, we establish a second main theorem for holomorphic curve intersecting hypersurfaces in general position in projective space with level of truncation. As an application, we reduce the number hypersurfaces in uniqueness problem for holomorphic curve of authors before.