The Continuation of sections of Torsion-Free Coherent Analytic Sheaves

TLDR: In this article, the continuation theorem of holomorphic functions, especially the generalized Hartogs-Osgood's theorem given in the previous papers, was extended to the case of torsion-free coherent analytic sheaves over a reduced complex space.

Abstract: The purpose of this paper is to extend the continuation theorem of holomorphic functions, especially the generalized Hartogs-Osgood’s theorem given in the previous papers [6] and [8], to the case of sections of torsion-free coherent analytic sheaves over a reduced complex space. In the following, we restrict ourselves only to reduced complex spaces.