More specifically, the conjecture states that certain de Rham cohomology classes are algebraic; that is, they are sums of Poincaré duals of the homology classes of subvarieties.
Mere specifikt siger formodningen at visse de Rhamkohomologi-klasser er algebraiske, dvs. at de er summer af Poincarés dualitet af homologiske klasser af undervariaterne.