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

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

2006-11-19

arxiv.org/abs/math/0611587v1

Mathematics

Commutative Algebra

This manuscript is the doctoral thesis of the author submitted to the University of Helsinki. The thesis was supervised by Eer

Scientific paper

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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