1. CMB 2007 (vol 50 pp. 161)
|Functoriality of the Coniveau Filtration |
It is shown that the coniveau filtration on the cohomology of smooth projective varieties is preserved up to shift by pushforwards, pullbacks and products.
2. CMB 2004 (vol 47 pp. 566)
|Algebraicity of some Weil Hodge Classes |
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.