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Hodge Diamond


The Hodge diamond of a compact Kähler manifold arranges its Hodge numbers h^(p,q)=dimH_(partial^_)^(p,q) in rows of constant p+q. Complex conjugation gives h^(p,q)=h^(q,p), and Serre duality gives reflection symmetry across the other diagonal.


See also

Dolbeault Cohomology, Hodge Theory, Kähler Manifold

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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

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