Quasi-coherent sheaves on complex analytic spaces

TL;DR

This paper proves that the subcategory of quasi-coherent sheaves within the category of analytic sheaves on a complex analytic space forms an abelian subcategory, highlighting its algebraic structure.

Contribution

It establishes that quasi-coherent sheaves constitute an abelian subcategory in the analytic setting, extending algebraic sheaf theory to complex analytic spaces.

Findings

Quasi-coherent sheaves form an abelian subcategory.

The result bridges algebraic and analytic sheaf theories.

Supports further algebraic methods in complex analysis.

Abstract

We show that in the category of analytic sheaves on a complex analytic space, the full subcategory of quasi-coherent sheaves is an abelian subcategory.