A remark on the Riemann-Roch formula on affine schemes associated with Noetherian local rings

Abstract

The aim of this paper is to describe the Riemann-Roch map on affine schemes associated with Noetherian local rings. The Riemann-Roch theorem on singular affine schemes is one of the powerful tools in the commutative ring theory. Our main theorem enables us to calculate the Riemann-Roch maps under some assumption.