The polar family of webs and foliations

M. Falla Luza; R. Rosas Bazan

doi:10.1007/s00574-014-0050-1

The polar family of webs and foliations

M. Falla Luza
, R. Rosas Bazan

Grupo de investigación en Geometría y Dinámica Compleja

Universidade Federal Fluminense

Research output: Contribution to journal › Article › peer-review

Abstract

We define the polar curves and the polar family associated to a projective web and obtain some results about the geometry of the generic element of this family. We also deal with the particular case of foliations and prove the constancy of the topological embedded type of the generic polar.

Original language	English
Pages (from-to)	313-324
Number of pages	12
Journal	Bulletin of the Brazilian Mathematical Society
Volume	45
Issue number	2
DOIs	https://doi.org/10.1007/s00574-014-0050-1
State	Published - Jun 2014

Keywords

holomorphic web
polar curve
polar family

Access to Document

10.1007/s00574-014-0050-1

Cite this

@article{37b0ca483db74c87b2f0991817d971c2,

title = "The polar family of webs and foliations",

abstract = "We define the polar curves and the polar family associated to a projective web and obtain some results about the geometry of the generic element of this family. We also deal with the particular case of foliations and prove the constancy of the topological embedded type of the generic polar.",

keywords = "holomorphic web, polar curve, polar family",

author = "\{Falla Luza\}, M. and \{Rosas Bazan\}, R.",

year = "2014",

month = jun,

doi = "10.1007/s00574-014-0050-1",

language = "English",

volume = "45",

pages = "313--324",

journal = "Bulletin of the Brazilian Mathematical Society",

issn = "1678-7544",

number = "2",

}

TY - JOUR

T1 - The polar family of webs and foliations

AU - Falla Luza, M.

AU - Rosas Bazan, R.

PY - 2014/6

Y1 - 2014/6

N2 - We define the polar curves and the polar family associated to a projective web and obtain some results about the geometry of the generic element of this family. We also deal with the particular case of foliations and prove the constancy of the topological embedded type of the generic polar.

AB - We define the polar curves and the polar family associated to a projective web and obtain some results about the geometry of the generic element of this family. We also deal with the particular case of foliations and prove the constancy of the topological embedded type of the generic polar.

KW - holomorphic web

KW - polar curve

KW - polar family

UR - https://www.scopus.com/pages/publications/84902082841

U2 - 10.1007/s00574-014-0050-1

DO - 10.1007/s00574-014-0050-1

M3 - Article

AN - SCOPUS:84902082841

SN - 1678-7544

VL - 45

SP - 313

EP - 324

JO - Bulletin of the Brazilian Mathematical Society

JF - Bulletin of the Brazilian Mathematical Society

IS - 2

ER -

The polar family of webs and foliations

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this