Hodge–de Rham spectral sequence

In mathematics, the Hodge–de Rham spectral sequence (named in honor of W. V. D. Hodge and Georges de Rham) or Frölicher spectral sequence (named after Alfred Frölicher, who actually discovered it; Frölicher (1955)) is a spectral sequence that describes the precise relationship between the Dolbeault cohomology and the de Rham cohomology of a general complex manifold. On a compact Kähler manifold, the sequence degenerates, thereby leading to the Hodge decomposition of the de Rham cohomology.

Source: Wikipedia — Hodge–de Rham spectral sequence (CC BY-SA 4.0)