On the conductor of the blowing-up of a one-dimensional Gorenstein local ring

Abstract

AbstractLet (R, m) be a one-dimensional Gorenstein local ring and I an m-primary ideal of R. In this paper, generalizing a result by Orecchia and Ramella (Manuscripta Math. 68 (1990) 1-7), we give necessary and sufficient conditions for the conductor of the blowing-up of R along I being equal to a power of I in terms of the reduction exponent and the genus of I