ON THE INTEGRAL HODGE AND TATE CONJECTURES OVER A NUMBER FIELD

Abstract

Hassett and Tschinkel gave counterexamples to the integral Hodge conjecture among 3-folds over a number field. We work out their method in detail, showing that essentially all known counterexamples to the integral Hodge conjecture over the complex numbers can be made to work over a number field.

Keywords

• 14C30 (primary)
• 11F80 (secondary)