Conjecture D (numerical Equivalence Vs. Homological Equivalence)
Conjecture D states that numerical equivalence and homological equivalence agree. (It implies in particular the latter does not depend on the choice of the Weil cohomology theory). This conjecture implies the Lefschetz conjecture. If the Hodge standard conjecture holds, then the Lefschetz conjecture and Conjecture D are equivalent.
Read more about this topic: Standard Conjectures On Algebraic Cycles
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