On the factorization of the polar of a plane branch

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

doi:10.1007/978-3-319-73639-6_11

On the factorization of the polar of a plane branch

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

Resultado de la investigación: Capítulo del libro/informe/acta de congreso › Contribución a la conferencia › revisión exhaustiva

Resumen

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.

Idioma original	Inglés
Título de la publicación alojada	Singularities and Foliations. Geometry, Topology and Applications - BMMS 2/NBMS 3
Editores	Jawad Snoussi, Raimundo Nonato Araujo dos Santos, Marcelo J. Saia, David Mond, Aurelio Menegon Neto
Editorial	Springer New York LLC
Páginas	347-362
Número de páginas	16
ISBN (versión impresa)	9783319736389
DOI	https://doi.org/10.1007/978-3-319-73639-6_11
Estado	Publicada - 2018
Evento	2nd Brazil-Mexico Meeting on Singularity and 3rd Northeastern Brazilian Meeting on Singularities, BMMS 2/NBMS 3 2015 - Salvador, Brasil Duración: 13 jul. 2015 → 17 jul. 2015

Serie de la publicación

Nombre	Springer Proceedings in Mathematics and Statistics
Volumen	222
ISSN (versión impresa)	2194-1009
ISSN (versión digital)	2194-1017

Conferencia

Conferencia	2nd Brazil-Mexico Meeting on Singularity and 3rd Northeastern Brazilian Meeting on Singularities, BMMS 2/NBMS 3 2015
País/Territorio	Brasil
Ciudad	Salvador
Período	13/07/15 → 17/07/15

Nota bibliográfica

Publisher Copyright:
© Springer International Publishing AG, part of Springer Nature 2018.

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10.1007/978-3-319-73639-6_11

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Hefez, A., Hernandes, M. E., & Iglesias, M. F. H. (2018). On the factorization of the polar of a plane branch. En J. Snoussi, R. N. Araujo dos Santos, M. J. Saia, D. Mond, & A. Menegon Neto (Eds.), Singularities and Foliations. Geometry, Topology and Applications - BMMS 2/NBMS 3 (pp. 347-362). (Springer Proceedings in Mathematics and Statistics; Vol. 222). Springer New York LLC. https://doi.org/10.1007/978-3-319-73639-6_11

Hefez, A. ; Hernandes, M. E. ; Iglesias, M. F.H. / On the factorization of the polar of a plane branch. Singularities and Foliations. Geometry, Topology and Applications - BMMS 2/NBMS 3. editor / Jawad Snoussi ; Raimundo Nonato Araujo dos Santos ; Marcelo J. Saia ; David Mond ; Aurelio Menegon Neto. Springer New York LLC, 2018. pp. 347-362 (Springer Proceedings in Mathematics and Statistics).

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keywords = "Equisingularity, Polar curves, Polar decomposition",

author = "A. Hefez and Hernandes, {M. E.} and Iglesias, {M. F.H.}",

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Hefez, A, Hernandes, ME & Iglesias, MFH 2018, On the factorization of the polar of a plane branch. En J Snoussi, RN Araujo dos Santos, MJ Saia, D Mond & A Menegon Neto (eds.), Singularities and Foliations. Geometry, Topology and Applications - BMMS 2/NBMS 3. Springer Proceedings in Mathematics and Statistics, vol. 222, Springer New York LLC, pp. 347-362, 2nd Brazil-Mexico Meeting on Singularity and 3rd Northeastern Brazilian Meeting on Singularities, BMMS 2/NBMS 3 2015, Salvador, Brasil, 13/07/15. https://doi.org/10.1007/978-3-319-73639-6_11

On the factorization of the polar of a plane branch. / Hefez, A.; Hernandes, M. E.; Iglesias, M. F.H.

Singularities and Foliations. Geometry, Topology and Applications - BMMS 2/NBMS 3. ed. / Jawad Snoussi; Raimundo Nonato Araujo dos Santos; Marcelo J. Saia; David Mond; Aurelio Menegon Neto. Springer New York LLC, 2018. p. 347-362 (Springer Proceedings in Mathematics and Statistics; Vol. 222).

Resultado de la investigación: Capítulo del libro/informe/acta de congreso › Contribución a la conferencia › revisión exhaustiva

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PY - 2018

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Hefez A, Hernandes ME, Iglesias MFH. On the factorization of the polar of a plane branch. En Snoussi J, Araujo dos Santos RN, Saia MJ, Mond D, Menegon Neto A, editores, Singularities and Foliations. Geometry, Topology and Applications - BMMS 2/NBMS 3. Springer New York LLC. 2018. p. 347-362. (Springer Proceedings in Mathematics and Statistics). doi: 10.1007/978-3-319-73639-6_11

On the factorization of the polar of a plane branch

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