2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107538In this article we investigate when a complete ideal in a two-dimensional regular local ring is a multiplier ideal of some ideal with an integral multiplying parameter. In particular, we show that this question is closely connected to the Gorenstein property of the blowup along the ideal.To appear in Math.ZCommutative AlgebraAlgebraic Geometry13B22; 13H05Adjoint ideals and Gorenstein blowups in two-dimensional regular local ringstext