A supplement to a theorem of Merker and Porten: a short proof of Hartogs' extension theorem for $(n-1)$-complete complex spaces

TL;DR

This paper provides a concise proof of Hartogs' extension theorem specifically tailored for (n-1)-complete complex spaces, simplifying the understanding of extension phenomena in complex analysis.

Contribution

It introduces a shorter proof for Hartogs' extension theorem applicable to (n-1)-complete complex spaces, building on and supplementing previous theorems by Merker and Porten.

Findings

Short proof of Hartogs' extension theorem for (n-1)-complete complex spaces

Simplification of existing proofs in complex analysis

Enhanced understanding of extension properties in complex spaces

Abstract

We give a short proof for the Hartogs's extension theorem on (n-1)-complete complex spaces.