Adjoints and polars of simple complete ideals in two-dimensional regular local rings. (English) Zbl 0796.13020

In this paper one studies the adjoint ideal and the polar ideal of a simple (= not a product of two ideals), complete (= integrally closed) ideal in a two dimensional regular local ring.


13H05 Regular local rings
13B22 Integral closure of commutative rings and ideals
13A15 Ideals and multiplicative ideal theory in commutative rings
14H20 Singularities of curves, local rings