Algebraic cycles on genus two modular fourfolds
Algebraic Geometry
2019-03-06 v2 Number Theory
Abstract
We study universal families of stable genus two curves with level structure. Among other things, it is shown that the (1,1) part is spanned by divisor classes, and that there are no cycles of type (2,2) in the third cohomology of the first direct image. Using this, we deduce the Hodge and Tate conjectures hold for these varieties.
Cite
@article{arxiv.1802.09496,
title = {Algebraic cycles on genus two modular fourfolds},
author = {Donu Arapura},
journal= {arXiv preprint arXiv:1802.09496},
year = {2019}
}
Comments
This is in final form. To appear in Algebra and Number Theory