Yano's conjecture for 2-Puiseux pair irreducible plane curve singularities
Algebraic Geometry
2018-05-04 v2
Abstract
In 1982, Yano proposed a conjecture predicting the -exponents of an irreducible plane curve singularity which is generic in its equisingularity class. In this article we prove the conjecture for the case of two Puiseux pairs and monodromy with distinct eigenvalues. The hypothesis on the monodromy implies that the -exponents coincide with the opposite of the roots of the Bernstein polynomial, and we compute the roots of the Bernstein polynomial.
Keywords
Cite
@article{arxiv.1602.07248,
title = {Yano's conjecture for 2-Puiseux pair irreducible plane curve singularities},
author = {E. Artal Bartolo and P. Cassou-Noguès and I. Luengo and A. Melle-Hernández},
journal= {arXiv preprint arXiv:1602.07248},
year = {2018}
}
Comments
27 pages, to appear in Publications of the Research Institute for Mathematical Sciences