Geodesic
Algebraicity of some Weil Hodge Classes
Canadian mathematical bulletin, Tome 47 (2004) no. 4, pp. 566-572

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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.
DOI : 10.4153/CMB-2004-055-x
Mots-clés : 14C30 
Koike, Kenji. Algebraicity of some Weil Hodge Classes. Canadian mathematical bulletin, Tome 47 (2004) no. 4, pp. 566-572. doi: 10.4153/CMB-2004-055-x
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     author = {Koike, Kenji},
     title = {Algebraicity of some {Weil} {Hodge} {Classes}},
     journal = {Canadian mathematical bulletin},
     pages = {566--572},
     year = {2004},
     volume = {47},
     number = {4},
     doi = {10.4153/CMB-2004-055-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2004-055-x/}
}
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