Some remarks on phantom categories and motives
arXiv:1511.07711
Abstract
A phantom category is an admissible subcategory with vanishing Grothendieck group of the bounded derived category of coherent sheaves on a smooth projective variety. The goal of this paper is to study the abstract situation when such a category appears and establish some results which provide evidence for the idea that these categories are invisible on the level of Chow motives.
17 pages, comments welcome; v2: minor revision, in particular correction of some typos