Algebraicity of some Weil Hodge Classes

2004/12/01 by Kenji Koike · 3 citations
Mathematics · Arts and Humanities · Pharmacology, Toxicology and Pharmaceutics · #Algebraic Geometry and Number Theory #Historical Studies and Socio-cultural Analysis #Alkaloids: synthesis and pharmacology

paper · pdf · doi:10.4153/cmb-2004-055-x

Abstract

Abstract 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.

Cited by

• Secant sheaves and Weil classes on abelian varieties
• Secant sheaves on abelian n-folds with real multiplication and Weil classes on abelian 2n-folds with complex multiplication
• Algebraicity of Hodge classes on some Generalized Prym Varieties

Related

• Algebraicity of some Weil Hodge classes
• Cycles on abelian 2n-folds of Weil type from secant sheaves on abelian n-folds
• Algebraicity of Hodge classes on some Generalized Prym Varieties
• The fibres of the Prym map of étale cyclic coverings of degree 7
• Variétés de Prym associées aux revêtements n-cycliques d'une courbe hyperelliptique