On the Hausdorff property of some Dolbeault cohomology groups

Christine Laurent-Thiébaut (1) , Mei-Chi Shaw (2)

1 IF - Institut Fourier
2 Department of Mathematics, University of Notre dame

In this paper we formulate the duality for the Cauchy-Riemann complex in various function spaces and use the duality to study the Hausdorff property of Dolbeault cohomology groups.

Mots clés: separation; Dolbeault cohomology; duality

Domaines: Variables complexes [math.CV]

Christine Laurent-Thiébaut, Mei-Chi Shaw. On the Hausdorff property of some Dolbeault cohomology groups. 2012. ⟨hal-00726710v2⟩