Decompositions of the higher order polars of plane branches-Reference-Cited by-同舟云学术

Decompositions of the higher order polars of plane branches

Published:2017-03-01 Issue:2 Volume:29 Page:357-367
ISSN:1435-5337
Container-title:Forum Mathematicum
language:
Short-container-title:

Author:

García Barroso Evelia R.¹,Gwoździewicz Janusz²

Affiliation:

1. 1Departamento de Matemáticas, Estadística e I.O., Sección de Matemáticas, Universidad de La Laguna. Apartado de Correos 456, 38200 La Laguna, Tenerife, Spain

2. 2Institute of Mathematics, Pedagogical University of Cracow, PodchorÄÅ¼ych 2, PL-30-084 Cracow, Poland

Abstract

AbstractIn [1] Casas-Alvero found decompositions of higher order polars of an irreducible plane complex analytic curve generalizing the results of Merle. We improve his result obtaining a finer decomposition where we find out a kind of branches that we call threshold semi-roots. The existence of threshold semi-roots is a new phenomenon observed for the higher order polars. The topological type and the number of these branches is determined by the topological type of the original curve.

Funder

Ministerio de Economía y Competitividad

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/forum-2016-0049/pdf

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