The Hodge diamond of a compact Kähler manifold arranges its Hodge numbers in rows of constant
. Complex conjugation
gives
,
and Serre duality gives reflection symmetry across the other diagonal.
Hodge Diamond
See also
Dolbeault Cohomology, Hodge Theory, Kähler ManifoldExplore with Wolfram|Alpha
References
Voisin, C. Hodge Theory and Complex Algebraic Geometry I. Cambridge, England: Cambridge University Press, 2002.Cite this as:
Weisstein, Eric W. "Hodge Diamond." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/HodgeDiamond.html