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arXiv · 1809.08845

A formula for jumping numbers in a two-dimensional regular local ring

Eero Hyry·Tarmo Järvilehto
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Abstract

In this article we give an explicit formula for the jumping numbers of an ideal of finite colenght in a two-dimensional regular local ring with an algebraically closed residue field. For this purpose, we associate a certain numerical semigroup to each vertex of the dual graph of a log-resolution of the ideal.

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Eero Hyry, Tarmo Järvilehto. 2018-09-24. A formula for jumping numbers in a two-dimensional regular local ring. https://arxiv.org/abs/1809.08845

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