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Algebraicity of some Weil Hodge Classes |
Canad. Math. Bull. 47(2004), 566-572
Published:2004-12-01
Printed: Dec 2004
Printed: Dec 2004
- Kenji Koike
Abstract
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.
| MSC Classifications: | 14C30 - Transcendental methods, Hodge theory [See also 14D07, 32G20, 32J25, 32S35], Hodge conjecture |