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CANCELLED The integral Hodge conjecture for 3-folds of Kodaira dimension zero.

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KAHW02 - Algebraic K-theory, motivic cohomology and motivic homotopy theory

We prove the integral Hodge conjecture for all 3-folds X of > Kodaira dimension zero with H^0(X, K_X) not zero. > This generalizes earlier results of Voisin and Grabowski. > The assumption is sharp, in view of counterexamples by Benoist and > Ottem. We also prove similar results on the integral Tate conjecture. > For example, the integral Tate conjecture holds for abelian 3-folds in > any characteristic.




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