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arXiv · 0907.2503

The Hodge conjecture for self-products of certain K3 surfaces

Ulrich Schlickewei
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Abstract

We use a result of van Geemen to determine the endomorphism algebra of the Kuga--Satake variety of a K3 surface with real multiplication. This is applied to prove the Hodge conjecture for self-products of double covers of $\PP^2$ which are ramified along six lines.

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Ulrich Schlickewei. 2009-07-15. The Hodge conjecture for self-products of certain K3 surfaces. https://arxiv.org/abs/0907.2503

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