Hodge conjecture

(redirected from Integral Hodge conjectures)

Hodge conjecture

[′häj kən‚jek·chər]
(mathematics)
The 2 p-dimensional rational cohomology classes in an n-dimensional algebraic manifold M which are carried by algebraic cycles are those with dual cohomology classes representable by differential forms of bidegree (n-p, n-p) on M.