On complexes of finite complete intersection dimension
Commutative Algebra
2009-02-24 v1 K-Theory and Homology
Abstract
We study complexes of finite complete intersection dimension in the derived category of a local ring. Given such a complex, we prove that the thick subcategory it generates contains complexes of all possible complexities. In particular, we show that such a complex is virtually small, answering a question raised by Dwyer, Greenlees and Iyengar.
Cite
@article{arxiv.0902.3828,
title = {On complexes of finite complete intersection dimension},
author = {Petter Andreas Bergh},
journal= {arXiv preprint arXiv:0902.3828},
year = {2009}
}
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5 pages