On the Hodge conjecture for products of certain surfaces

José J. Ramón-Marí

On the Hodge conjecture for products of certain surfaces

Algebraic Geometry 2007-10-17 v1

Authors: José J. Ramón-Marí

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.

Keywords

hodge conjecture products of surfaces smooth projective surfaces k3 surfaces cm number field abelian variety

Cite

@article{arxiv.math/0505357,
  title  = {On the Hodge conjecture for products of certain surfaces},
  author = {José J. Ramón-Marí},
  journal= {arXiv preprint arXiv:math/0505357},
  year   = {2007}
}

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