On the Hodge conjecture for products of certain surfaces

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 $En{d}_{hodge}(T(X))$ is a CM number field.

References in corpus (1)

• Vector bundles on a K3 surface