Idempotent completeness of higher derived categories of abelian categories, by Satoshi Mochizuki

[A new version has been provided, Sept 23, 2010.]

Higher derived categories of exact categories are defined by localizing the category of multi-chain complexes. The main objective of this paper is to prove that higher derived category of abelian categories are idempotent complete.

Satoshi Mochizuki <>