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arXiv · 1511.07711

Some remarks on phantom categories and motives

Pawel Sosna
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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.

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Pawel Sosna. 2016-01-19. Some remarks on phantom categories and motives. https://arxiv.org/abs/1511.07711

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