Dicritical logarithmic foliations.

Felipe Cano; Nuria Corral

Publicacions Matemàtiques (2006)

  • Volume: 50, Issue: 1, page 87-102
  • ISSN: 0214-1493

Abstract

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We show the existence of weak logarithmic models for any (dicritical or not) holomorphic foliation F of (C2,0) without saddle-nodes in its desingularization. The models are written in terms of a representative set of separatrices, whose equisingularity types are controlled by the Milnor number of the foliation.

How to cite

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Cano, Felipe, and Corral, Nuria. "Dicritical logarithmic foliations.." Publicacions Matemàtiques 50.1 (2006): 87-102. <http://eudml.org/doc/41542>.

@article{Cano2006,
abstract = {We show the existence of weak logarithmic models for any (dicritical or not) holomorphic foliation F of (C2,0) without saddle-nodes in its desingularization. The models are written in terms of a representative set of separatrices, whose equisingularity types are controlled by the Milnor number of the foliation.},
author = {Cano, Felipe, Corral, Nuria},
journal = {Publicacions Matemàtiques},
keywords = {Variedades complejas; Foliaciones; Singularidades; singular foliations; dicritical foliations; logarithmic forms; pencil of curves; singularities},
language = {eng},
number = {1},
pages = {87-102},
title = {Dicritical logarithmic foliations.},
url = {http://eudml.org/doc/41542},
volume = {50},
year = {2006},
}

TY - JOUR
AU - Cano, Felipe
AU - Corral, Nuria
TI - Dicritical logarithmic foliations.
JO - Publicacions Matemàtiques
PY - 2006
VL - 50
IS - 1
SP - 87
EP - 102
AB - We show the existence of weak logarithmic models for any (dicritical or not) holomorphic foliation F of (C2,0) without saddle-nodes in its desingularization. The models are written in terms of a representative set of separatrices, whose equisingularity types are controlled by the Milnor number of the foliation.
LA - eng
KW - Variedades complejas; Foliaciones; Singularidades; singular foliations; dicritical foliations; logarithmic forms; pencil of curves; singularities
UR - http://eudml.org/doc/41542
ER -

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