Limit spectral distribution for non-degenerate hypersurface singularities
Algebraic Geometry
2022-07-08 v2 Complex Variables
Abstract
We establish Kyoji Saito's continuous limit distribution for the spectrum of Newton non-degenerate hypersurface singularities. Investigating Saito's notion of dominant value in the case of irreducible plane curve singularities, we find that the log canonical threshold is strictly bounded below by the doubled inverse of the Milnor number. We show that this bound is asymptotically sharp.
Keywords
Cite
@article{arxiv.2012.06360,
title = {Limit spectral distribution for non-degenerate hypersurface singularities},
author = {Patricio Almirón and Mathias Schulze},
journal= {arXiv preprint arXiv:2012.06360},
year = {2022}
}
Comments
15 pages, 1 figure