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Adjoint ideals and Gorenstein blowups in two-dimensional regular local rings

Eero Hyry, Yukio Nakamura, Lauri Ojala

math.ACarXiv:math/0601327

Abstract

In 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.

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