Generalized Koszul resolution, by Satoshi Mochizuki and Akiyoshi Sannai

The main objective of this paper is generalizing a notion of Koszul resolutions and characterizing modules which admits such a resolution. We turn out that for a noetherian domain A and a coherent A module M, M has a two dimensional generalized Koszul resolution if and only if M is a pure weight two modules in the sense of [HM09]. As its applications, we are attacking the Gersten conjecture for weight two case.

Satoshi Mochizuki <>
Akiyoshi Sannai <>