Hodge theory | Complex manifolds

Ddbar lemma

In complex geometry, the lemma (pronounced ddbar lemma) is a mathematical lemma about the de Rham cohomology class of a complex differential form. The -lemma is a result of Hodge theory and the Kähler identities on a compact Kähler manifold. Sometimes it is also known as the -lemma, due to the use of a related operator , with the relation between the two operators being and so . (Wikipedia).

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Related pages

Kähler identities | Compact space | Complex differential form | De Rham cohomology | Hodge theory | Kähler manifold | Kähler–Einstein metric | Closed and exact differential forms | Complex geometry | Plurisubharmonic function | Exterior derivative | Dolbeault cohomology | Monge–Ampère equation | Ddbar lemma | Mathematical analysis | Fujiki class C | Complex manifold