Solving the $\partial \overline{\partial}$ for extendable currents without vanishing the boundary cohomology group
Complex Variables
2025-12-01 v1
Abstract
In this paper, we consider the problem of solving the equation with discribed support for differential forms in a relatively compact domain of a complex analytic manifold . And as a consequence, we have the solution of the equation for extendable currents without the annulation assumption of the De Rham cohomology group of the boundary.\\ \textbf{Keywords:} operator , De Rham cohomology group, Dolbeault cohomology group, Bott-Chern cohomology group,Applie cohomology group, discribed support, extendable currents.
Cite
@article{arxiv.2511.22969,
title = {Solving the $\partial \overline{\partial}$ for extendable currents without vanishing the boundary cohomology group},
author = {Mamadou Eramane Bodian and Souhaibou Sambou and Sény Diatta and Salomon Sambou},
journal= {arXiv preprint arXiv:2511.22969},
year = {2025}
}