A formula for jumping numbers in a two-dimensional regular local ring
classification
🧮 math.AC
math.AG
keywords
formulaidealjumpinglocalnumbersregularringtwo-dimensional
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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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