Abstract

We study generic objects in triangulated categories and give a characterization of the finite dimensional algebras A such that the derived categories D(Mod A) are generically trivial. This characterization is an analogue of a result of Crawley-Boevey for module categories. As a consequence, we show that D(Mod A) is generically trivial if and only if the category of perfect complexes K b (proj A) is locally finite.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call