Title
Residue-type indices and holomorphic foliations
Date Issued
01 January 2019
Access level
open access
Resource Type
journal article
Author(s)
Universidade Federal de Minas Gerais
Publisher(s)
Scuola Normale Superiore
Abstract
We investigate residue-type indices for germs of holomorphic foliations in the plane and characterize second type foliations – those not containing tangent saddle-nodes in the reduction of singularities – by an expression involving the Baum-Bott, variation and polar excess indices. These local results are applied in the study of logarithmic foliations on compact complex surfaces.
Start page
1111
End page
1134
Volume
19
Issue
3
Language
English
OCDE Knowledge area
Física atómica, molecular y química
Matemáticas
Scopus EID
2-s2.0-85059866896
Source
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
ISSN of the container
0391173X
Sponsor(s)
Work supported by MATH-AmSud Project CNRS/CAPES/Concytec and by Universal/CNPq. Received March 2, 2017; accepted in revised form November 29, 2017. Published online September 2019.
Work supported by MATH-AmSud Project CNRS/CAPES/Concytec and by Universal/CNPq.
Sources of information:
Directorio de Producción Científica
Scopus