Generically trivial derived categories
Representation Theory
2014-12-03 v2
Abstract
We study generic objects in triangulated categories and characterize the finite dimensional algebras such that the derived categories are generically trivial. This is an analogue of a result of Crawley-Boevey for module categories. As a consequence, we show that is generically trivial if and only if the category of perfect complexes is locally finite.
Cite
@article{arxiv.1308.2336,
title = {Generically trivial derived categories},
author = {Han Zhe},
journal= {arXiv preprint arXiv:1308.2336},
year = {2014}
}
Comments
10 pages