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Algebraicity of some Weil Hodge Classes

Published online by Cambridge University Press:  20 November 2018

Kenji Koike
Kenji Koike*
Affiliation:
Faculty of Education and Human Science Yamanashi University Takeda 4-4-37, Kofu Yamanashi 400-8510 Japan
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Abstract

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We show that the Prym map for 4-th cyclic étale 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.

Keywords

14C30
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 47 , Issue 4 , 01 December 2004 , pp. 566 - 572
Copyright
Copyright © Canadian Mathematical Society 2004

References

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