Jumping numbers of a unibranch curve on a smooth surface

2008/06/03 by Daniel Naie, Naie, Daniel · 1 citation
Mathematics · #14H20 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14H20

paper · pdf · doi:10.48550/arxiv.0806.0592

20 pages; added references

arxiv created 2008/06/05 · arxiv updated 2009/12/01

Abstract

A formula for the jumping numbers of a curve unibranch at a singular point is established. The jumping numbers are expressed in terms of the Enriques diagram of the log resolution of the singularity, or equivalently in terms of the canonical set of generators of the semigroup of the curve at the singular point.

Cited by

• Quasi-ordinary hypersurfaces, multiplier ideals and local tropicalizations

Related

• Irrelevant Exceptional Divisors for Curves on a Smooth Surface
• Jumping Numbers on Algebraic Surfaces with Rational Singularities
• Non-degenerate jump of Milnor numbers of surface singularities
• Log-canonical threshold for curves on a smooth surface
• Contribution of jumping numbers by exceptional divisors, with an appendix by Karen E. Smith and Kevin Tucker