Sign up ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

What are examples that show that derived categories really makes things easier/more transparent/have a real use?

share|cite|improve this question
You may want to read some of the pointers given here. – t.b. Oct 31 '11 at 18:05
Do you like Morita equivalence? :-) It can be generalized in presence of differential structures, and even A-infty structures using derived categories. In general, derived categories are quite natural if you want to study structures with differentials (like complexes of modules over a given ring) identifying those structures which give the same information, i.e. cohomology. Localization w.r.t. quasi-isomorphisms is the method behind this idea. – Avitus Jun 11 '13 at 9:29

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.