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On the Hodge conjecture for products of certain surfaces

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In this thesis we prove the Hodge conjecture for products of smooth projective surfaces S(_1) x S(_2), where S(_2) = A is an Abelian surface and S (_1) is such that P(_g)(S(_1)) = 1, q = 2. We hereby provide new examples in dimension 4 where the Hodge conjecture holds.

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