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arxiv: 1511.07711 · v2 · pith:XEU45SFAnew · submitted 2015-11-24 · 🧮 math.AG

Some remarks on phantom categories and motives

Pawel Sosna This is my paper
classification 🧮 math.AG
keywords categorycategoriesmotivesphantomsomeabstractadmissibleappears
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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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