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.
|Title of host publication||Singularities and Foliations. Geometry, Topology and Applications - BMMS 2/NBMS 3|
|Editors||Jawad Snoussi, Raimundo Nonato Araujo dos Santos, Marcelo J. Saia, David Mond, Aurelio Menegon Neto|
|Publisher||Springer New York LLC|
|Number of pages||16|
|State||Published - 2018|
|Event||2nd Brazil-Mexico Meeting on Singularity and 3rd Northeastern Brazilian Meeting on Singularities, BMMS 2/NBMS 3 2015 - Salvador, Brazil|
Duration: 13 Jul 2015 → 17 Jul 2015
|Name||Springer Proceedings in Mathematics and Statistics|
|Conference||2nd Brazil-Mexico Meeting on Singularity and 3rd Northeastern Brazilian Meeting on Singularities, BMMS 2/NBMS 3 2015|
|Period||13/07/15 → 17/07/15|
Bibliographical noteFunding Information:
A. Hefez and M. E. Hernandes were partially supported by the CNPq grants 307873/2016-1 and 303594/2014-4, respectively, while the third author was supported by a fellowship from CAPES/Fundação Araucária.
© Springer International Publishing AG, part of Springer Nature 2018.
- Polar curves
- Polar decomposition