English

Computing the equisingularity type of a pseudo-irreducible polynomial

Algebraic Geometry 2019-11-14 v1

Abstract

Germs of plane curve singularities can be classified accordingly to their equisingularity type. For singularities over C, this important data coincides with the topological class. In this paper, we characterise a family of singularities, containing irreducible ones, whose equisingularity type can be computed in quasi-linear time with respect to the discriminant valuation of a Weierstrass equation.

Keywords

Cite

@article{arxiv.1911.05596,
  title  = {Computing the equisingularity type of a pseudo-irreducible polynomial},
  author = {Adrien Poteaux and Martin Weimann},
  journal= {arXiv preprint arXiv:1911.05596},
  year   = {2019}
}

Comments

26 pages. arXiv admin note: substantial text overlap with arXiv:1904.00286

R2 v1 2026-06-23T12:14:37.448Z