Abstract
AbstractWe solve the $${\bar{\partial }}$$
∂
¯
-equation for (p, q)-forms locally on any reduced pure-dimensional complex space and we prove an explicit version of Serre duality by introducing suitable concrete fine sheaves of certain (p, q)-currents. In particular this gives a condition for the $${\bar{\partial }}$$
∂
¯
-equation to be globally solvable. Our results also give information about holomorphic p-forms on singular spaces.
Publisher
Springer Science and Business Media LLC
Cited by
1 articles.
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1. Integral representation of moderate cohomology;Annales de la Faculté des sciences de Toulouse : Mathématiques;2021-05-25