The Hodge conjecture for self-products of certain K3 surfaces

Details The Hodge conjecture for self-products of certain K3 surfaces The Hodge conjecture for self-products of certain K3 surfaces

2009-07-15

arxiv.org/abs/0907.2503v1

Mathematics

Algebraic Geometry

24 pages

Scientific paper

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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