The Hodge conjecture for self-products of certain K3 surfaces
arXiv:0907.2503
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.
24 pages