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:''h<sup>p,q</sup>'' = dim ''H<sup>p,q</sup>''.
The sequence of Betti numbers becomes a '''Hodge diamond''' of '''Hodge numbers''' spread out into two dimensions.
This grading comes initially from the theory of '''harmonic forms''', that are privileged representatives in a de Rham cohomology class picked out by the Hodge Laplacian (generalising [[harmonic function]]s, which must be [[locally constant]] on compact manifolds by their ''maximum principle''). In later work (Dolbeaut) it was shown that the Hodge decomposition above can also be found by means of the [[sheaf cohomology]] groups
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