On the Hodge conjecture for products of certain surfaces
- Autores: José J. Ramón Marí
- Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 59, Fasc. 1, 2008, págs. 1-26
- Idioma: inglés
- DOI: 10.1007/bf03191179
- Enlaces
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Resumen
In this paper we prove the Hodge conjecture for all products of surfaces $S_1\times\cdots\times S_n$ with $q(S_i) = 2, p_g(S_i) = 1$. We also prove the Hodge conjecture for arbitrary self-products of a $K3$ surface $X$ such that the field $E = End_{hg}T(X)$ is a $CM$-field.
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