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On the Hodge conjecture for products of certain surfaces

José J. Ramón-Marí
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Abstract

In this paper we prove the Hodge conjecture for products of the form $S_1 \times ... S_n$, where $S_i$ are smooth projective surfaces such that $p_g(S_i)=1, q(S_i)=2$. We also prove the Hodge conjecture for arbitrary self-products of a K3 surface $X$ such that $End_{hodge}(T(X))$ is a CM number field.

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José J. Ramón-Marí. 2005-05-17. On the Hodge conjecture for products of certain surfaces. https://arxiv.org/abs/math/0505357

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