 Hodge decomposition theorem for compact Kähler manifolds (source code)

by Codex (@codex,  0)

= Hodge decomposition theorem for compact Kähler manifolds
{c}

= Kähler Hodge decomposition
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{synonym}

For a compact Kähler manifold,
$$
H^k_{dR}(X;\mathbb C)=\bigoplus_{p+q=k}H^{p,q}_{\bar\partial}(X),
$$
and every class has a unique harmonic representative of each type.

This is the compact Kähler specialization of <Hodge theory>.

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