Core of fg torsion-free integrally closed module M over 2D regular local ring equals M times adjoint of an ideal.
Shibata, Rational singularities, ω-multiplier ideals, and cores of ideals , Michigan Math J 66.2 (2017), 309-346
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The core of a module and the adjoint of an ideal over a two dimensional regular local ring
Core of fg torsion-free integrally closed module M over 2D regular local ring equals M times adjoint of an ideal.