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
  • Texto completo
• 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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