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Some remarks on phantom categories and motives
Pawel Sosna
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Source: Crossref
Published: Sep 1, 2020
DOI: 10.36045/bbms/1599616818
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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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