Algebraicity of some Weil Hodge Classes
Printed: Dec 2004
We show that the Prym map for 4-th cyclic \'etale covers of curves
of genus 4 is a dominant morphism to a Shimura variety for a family
of Abelian 6-folds of Weil type. According to the result of Schoen,
this implies algebraicity of Weil classes for this family.
14C30 - Transcendental methods, Hodge theory [See also 14D07, 32G20, 32J25, 32S35], Hodge conjecture