Article ID Journal Published Year Pages File Type
4586720 Journal of Algebra 2010 23 Pages PDF
Abstract

We use a result of van Geemen (2008) [vG4] 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 P2 which are ramified along six lines.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory