# Cohomology of vector bundles and non-pluriharmonic loci

## TL;DR

This paper investigates the cohomology of vector bundles near non-pluriharmonic loci in Stein and projective manifolds, leading to variants of the Lefschetz hyperplane theorem.

## Contribution

It introduces new results on cohomology groups of vector bundles in complex manifolds and derives variants of the Lefschetz hyperplane theorem.

## Key findings

- Cohomology groups are characterized near non-pluriharmonic loci.
- Variants of the Lefschetz hyperplane theorem are established.
- Results apply to both Stein and projective manifolds.

## Abstract

In this paper, we study cohomology groups of vector bundles on neighborhoods of a non-pluriharmonic locus in Stein manifolds and in projective manifolds. By using our results, we show variants of the Lefschetz hyperplane theorem.