Jumping numbers of a simple complete ideal in a two-dimensional regular local ring

2006/11/19 by Jarvilehto, Tarmo · 1 citation
#13H05 (Primary) 14B05 (Secondary) #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/0611587

Abstract

In this manuscript we shall give an explicit formula for the jumping numbers of a simple complete ideal in a two-dimensional regular local ring. In particular, we obtain a formula for the jumping numbers of an analytically irreducible plane curve. We then show that the jumping numbers determine the equisingularity class of the curve.

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• Quasi-ordinary hypersurfaces, multiplier ideals and local tropicalizations

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