Approximate roots, toric resolutions and deformations of a plane branch

スポンサーリンク

概要

• 論文の詳細を見る

• We analyze the expansions in terms of the approximate roots of a Weierstrass polynomial f ∈ C {x}[y], defining a plane branch (C,0), in the light of the toric embedded resolution of the branch. This leads to the definition of a class of (non-equisingular) deformations of a plane branch (C,0) supported on certain monomials in the approximate roots of f, which are essential in the study of Harnack smoothings of real plane branches by Risler and the author. Our results provide also a geometrical approach to Abhyankars irreducibility criterion for power series in two variables and also a criterion to determine if a family of plane curves is equisingular to a plane branch.

著者

• González Pérez

  Instituto de Ciencias Matemáticas, CSIC-UAM-UC3M-UCM, Departamento de Álgebra, Facultad de Ciencias

関連論文

• Approximate roots, toric resolutions and deformations of a plane branch

スポンサーリンク