Author:

Keywords:

regular local-rings, Science & Technology, Physical Sciences, Mathematics, REGULAR LOCAL-RINGS, 0101 Pure Mathematics, General Mathematics, 4904 Pure mathematics

Abstract:

We give a particularly short and elementary proof of the length formula of Hoskin and Deligne, Unlike Johnston and Verma (Math. Proc. Cambridge Philos. Soc. 111, 423-432 (1992)), we don't first prove a formula for the multiplicity of a complete m-primary ideal of a two-dimensional regular local ring (R, m).