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

Eero Hyry·Yukio Nakamura·Lauri Ojala
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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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Eero Hyry, Yukio Nakamura, Lauri Ojala. 2006-01-13. Adjoint ideals and Gorenstein blowups in two-dimensional regular local rings. https://arxiv.org/abs/math/0601327

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