On the factorization of the polar of a plane branch

A. Hefez, M. E. Hernandes, M. F.H. Iglesias

Research output: Contribution to conferencePaper

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 languageAmerican English
Pages347-362
Number of pages16
DOIs
StatePublished - 1 Jan 2018
Externally publishedYes
EventSpringer Proceedings in Mathematics and Statistics -
Duration: 1 Jan 2018 → …

Conference

ConferenceSpringer Proceedings in Mathematics and Statistics
Period1/01/18 → …

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  • 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