Computing the equisingularity type of a pseudo-irreducible polynomial

2019/11/12 by Poteaux, Adrien, Weimann, Martin
#12Y05 #13P05 #14Q20 #68W30 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1911.05596

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.

Related

• Equisingular calculations for plane curve singularities
• Effective construction of irreducible curve singularities
• Plane algebraic curves with prescribed singularities
• Equisingularity and simultaneous resolution of singularities
• Using approximate roots for irreducibility and equi-singularity issues\n in K[[x]][y]