Sur certains faisceaux de formes m\'eromorphes sur un espace complexe r\'eduit

TL;DR

This paper investigates the properties of specific coherent sheaves of meromorphic forms on reduced complex spaces, focusing on their behavior under pullback and higher direct images to understand their structural characteristics.

Contribution

It provides new insights into the behavior of meromorphic form sheaves on reduced complex spaces, especially regarding pullback and higher direct image operations.

Findings

Characterization of sheaves of meromorphic forms on reduced complex spaces

Analysis of pullback behavior of these sheaves

Results on higher direct images of meromorphic form sheaves

Abstract

The purpose of this is the study of certain coherent sheaves of meromorphic forms on reduced complex space and particularly their behavior with respect to pull back and higher direct image.