Description of mixed motives
arXiv:1708.01036
Abstract
Assuming the Künneth type standard conjecture, we propose a way to describe objects of mixed motives explicitly. We study their formal properties, and we associate mixed motives to schemes smooth and separated over a field. This serves as a universal cohomology theory. We also discuss -adic realizations, and we discuss an unconditional construction of 2-motives and their properties.
29 pages