Canonical module and one-dimensional analytically irreducible Arf domains (Q2785931)

This paper concerns a commutative local Noetherian domain \(R\) whose integral closure is a discrete valuation domain as well as a finite \(R\)-module. The finite values of \(R\) form a submonoid of the positive integers with finite complement. Various properties of \(R\) and its canonical ideal are studied in terms of this monoid. For example, the author presents conditions for \(R\) to be Arf in terms of the values of the canonical ideals of a chain of ideals of \(R\); he studies the blowing up of a canonical ideal of \(R\) in terms of its value monoid; and he shows how a canonical ideal and its blowing up are connected with type sequences.NEWLINENEWLINEFor the entire collection see [Zbl 0855.00015].