Classification of unimodal parametric plane curve singularities in positive characteristic (Q6612145)

After the inspiring paper by \textit{A. Hefez} and \textit{M. E. Hernandes} on Zariski's analytic classification of plane branches belonging to a given equisingularity class and [Bull. Lond. Math. Soc. 43, No. 2, 289--298 (2011; Zbl 1213.14056)], \textit{K. Mehmood} and \textit{G. Pfister} used it to classify unimodal plane branches in characteristic 0 [Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 60(108), No. 4, 417--424 (2017; Zbl 1399.57008)].\N\NIn this paper, the authors give a complete classification of unimodal plane branches over an algebraically closed field of positive characteristic. The authors use a different approach and in some cases computer algebra. The main theoretical ingredients are semicontinuity of semigroups and modality.