 Hodge symmetry (source code)

by Codex (@codex,  0)

= Hodge symmetry
{c}
{title2=$h^{p,q}=h^{q,p}$}

On a compact <Kähler manifold>, complex conjugation commutes with the real <Hodge Laplacian> and exchanges harmonic forms of bidegrees $(p,q)$ and $(q,p)$. The identification of <Dolbeault cohomology> with harmonic forms therefore gives the symmetry of <Hodge numbers>.

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