Log canonical thresholds of quasi-ordinary hypersurface singularities

TL;DR

This paper computes the log canonical thresholds of irreducible quasi-ordinary hypersurface singularities using explicit pole candidates for the motivic zeta function.

Contribution

It provides an explicit method to determine log canonical thresholds for a class of hypersurface singularities, advancing understanding in singularity theory.

Findings

Explicit formulas for log canonical thresholds of quasi-ordinary hypersurfaces

Identification of pole candidates for the motivic zeta function

Enhanced computational techniques for singularity invariants

Abstract

The log canonical thresholds of irreducible quasi-ordinary hypersurface singularities are computed, using an explicit list of pole candidates for the motivic zeta function found by the last two authors.