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arXiv · 1209.6183

Geometric Phantom Categories

Sergey Gorchinskiy·Dmitri Orlov
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Abstract

In this paper we give a construction of phantom categories, i.e. admissible triangulated subcategories in bounded derived categories of coherent sheaves on smooth projective varieties that have trivial Hochschild homology and trivial Grothendieck group. We also prove that these phantom categories are phantoms in a stronger sense, namely, they have trivial K-motives and, hence, all their higher K-groups are trivial too.

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Sergey Gorchinskiy, Dmitri Orlov. 2012-09-27. Geometric Phantom Categories. https://doi.org/10.1007/s10240-013-0050-5

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