Jumping numbers of a simple complete ideal in a two-dimensional regular local ring
Commutative Algebra
2007-05-23 v1 Algebraic Geometry
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.
Cite
@article{arxiv.math/0611587,
title = {Jumping numbers of a simple complete ideal in a two-dimensional regular local ring},
author = {Tarmo Jarvilehto},
journal= {arXiv preprint arXiv:math/0611587},
year = {2007}
}
Comments
This manuscript is the doctoral thesis of the author submitted to the University of Helsinki. The thesis was supervised by Eero Hyry