In complex geometry, the ∂ ∂ ¯ {\displaystyle \partial {\bar {\partial }}} lemma (pronounced ddbar lemma) is a mathematical lemma about the de Rham cohomology class of a complex differential form. The ∂ ∂ ¯ {\displaystyle \partial {\bar {\partial }}} -lemma is a result of Hodge theory and the Kähler identities on a compact Kähler manifold.
In complex geometry, the ∂ ∂ ¯ {\displaystyle \partial {\bar {\partial }}} lemma (pronounced ddbar lemma) is a mathematical lemma about the de Rham cohomology class of a complex differential form. The ∂ ∂ ¯ {\displaystyle \partial {\bar {\partial }}} -lemma is a result of Hodge theory and the Kähler identities on a compact Kähler manifold.
Source: Wikipedia "Ddbar lemma" · CC BY-SA 4.0
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