We show that there is a one-to-one correspondence between basic cotilting complexes and certain contravariantly finite subcategories of the bounded derived category of an artin algebra. This is a triangulated version of a result by Auslander and Reiten. We use this to find an existence criterion for complements to exceptional complexes.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm88-1-1,
author = {Aslak Bakke Buan},
title = {Subcategories of the derived category and cotilting complexes},
journal = {Colloquium Mathematicae},
volume = {89},
year = {2001},
pages = {1-11},
zbl = {0984.16010},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm88-1-1}
}
Aslak Bakke Buan. Subcategories of the derived category and cotilting complexes. Colloquium Mathematicae, Tome 89 (2001) pp. 1-11. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm88-1-1/