English

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

Commutative Algebra 2018-09-25 v1 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.1809.08845,
  title  = {A formula for jumping numbers in a two-dimensional regular local ring},
  author = {Eero Hyry and Tarmo Järvilehto},
  journal= {arXiv preprint arXiv:1809.08845},
  year   = {2018}
}

Comments

32 pages, to appear in Journal of Algebra

R2 v1 2026-06-23T04:16:07.062Z