English

Bernstein-Sato polynomials and analytic non-equivalence of plane curve singularities

Algebraic Geometry 2022-07-05 v1

Abstract

We compute Bernstein-Sato polynomials of some pairs of topologically equivalent plane curve singularities. Some pairs have the same Tjurina number but distinct Bernstein-Sato polynomials, which implies that they are not analytically equivalent.

Keywords

Cite

@article{arxiv.2207.00699,
  title  = {Bernstein-Sato polynomials and analytic non-equivalence of plane curve singularities},
  author = {Toshinori Oaku},
  journal= {arXiv preprint arXiv:2207.00699},
  year   = {2022}
}