On a non-vanishing conjecture of Kawamata and the core of an ideal
On a non-vanishing conjecture of Kawamata and the core of an ideal
We show, under suitable hypotheses which are sharp in a certain sense, that the core of an m-primary ideal in a regular local ring of dimension d is equal to the adjoint (or multiplier) ideal of its d -th power. This generalizes the fundamental formula for the core of an …