Higher K-theory of Koszul cubes, by Satoshi Mochizuki

[The previous version, dated June 2, 2008, has been updated by the author, March 22, 2011. See also the previous version, 0888.]

The main objective of this paper is to decide generators of the topological filtrations on K-theory of a noetherian commutative ring with unit A. We introduce the concept of Koszul cubes and give a new algorithm about resolution process of modules by Koszul cubes. By the virtue of the algorithm, we get the comparison theorem between the K-theory of Koszul cubes with that of topological filtrations.

Satoshi Mochizuki <mochi81@hotmail.com>