Talk:Dolbeault cohomology

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Mathematics rating:	Stub Class	Mid Priority	Field: Geometry
Please update this rating as the article progresses, or if the rating is inaccurate. Click to show/hide comments. Please add to or update the comments to suggest improvements to the article. Geometry guy 21:39, 10 June 2007 (UTC)

This is the talk page for discussing improvements to the Dolbeault cohomology article.
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Perhaps adding that on the construction of the Dolbeault cohomology one has to use the complex structure of the manifold and then remarking if the cohomology groups obtained give information about the complex structure (or if it is only a topological invariant) would enrich the entry.

in particular, if the Dolbeault cohomology is an invariant of the complex structure, then would be nice to have an example of two complex structures on the same differentiable manifold yielding different Dolbeault cohomology groups.

[edit] Who was Dolbeault ?

The article has no biographical reference to Dolbeault. Can anyone help? DFH 20:14, 26 January 2007 (UTC)

[edit] Dolbeault-Grothendieck lemma ?

What is the Dolbeault-Grothendieck lemma ? DFH 20:16, 26 January 2007 (UTC)