### Abstract

© Springer International Publishing AG, part of Springer Nature 2018. Irreducible complex plane curve germs with the same characteristic exponents form an equisingularity class. In this paper we determine the Zariski invariants that characterize the general polar of a general member of such an equisingularity class. More precisely, we will describe explicitly the characteristic exponents of the irreducible components of the polar and their mutual intersection multiplicities, allowing us in particular to describe completely the content of each of Merle’s packages of the polar.

Original language | American English |
---|---|

Pages | 347-362 |

Number of pages | 16 |

DOIs | |

State | Published - 1 Jan 2018 |

Externally published | Yes |

Event | Springer Proceedings in Mathematics and Statistics - Duration: 1 Jan 2018 → … |

### Conference

Conference | Springer Proceedings in Mathematics and Statistics |
---|---|

Period | 1/01/18 → … |

## Fingerprint Dive into the research topics of 'On the factorization of the polar of a plane branch'. Together they form a unique fingerprint.

## Cite this

Hefez, A., Hernandes, M. E., & Iglesias, M. F. H. (2018).

*On the factorization of the polar of a plane branch*. 347-362. Paper presented at Springer Proceedings in Mathematics and Statistics, . https://doi.org/10.1007/978-3-319-73639-6_11