Dolbeault Cohomology - Dolbeault's Theorem

Dolbeault's Theorem

Dolbeault's theorem is a complex analog of de Rham's theorem. It asserts that the Dolbeault cohomology is isomorphic to the sheaf cohomology of the sheaf of holomorphic differential forms. Specifically,

where Ωp is the sheaf of holomorphic p forms on M.

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