Geometric Phantom Categories
Algebraic Geometry
2013-12-11 v3 Category Theory
K-Theory and Homology
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.
Cite
@article{arxiv.1209.6183,
title = {Geometric Phantom Categories},
author = {Sergey Gorchinskiy and Dmitri Orlov},
journal= {arXiv preprint arXiv:1209.6183},
year = {2013}
}
Comments
LaTeX, 18 pages