Convex foliations of degree 4 on the complex projective plane

Samir Bedrouni; David Marín

doi:10.1007/s00209-019-02356-z

Convex foliations of degree 4 on the complex projective plane

Samir Bedrouni, David Marín

Department of Mathematics

Research output: Contribution to journal › Article › Research

Abstract

© 2019, Springer-Verlag GmbH Germany, part of Springer Nature. We show that up to automorphism of PC2 there are 5 homogeneous convex foliations of degree four on PC2. Using this result, we give a partial answer to a question posed in 2013 by Marín and Pereira about the classification of reduced convex foliations on PC2.

Original language	English
Journal	Mathematische Zeitschrift
DOIs	https://doi.org/10.1007/s00209-019-02356-z
Publication status	Published - 1 Jan 2019

Keywords

Convex foliation
Homogeneous foliation
Inflection divisor
Singularity

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title = "Convex foliations of degree 4 on the complex projective plane",

abstract = "{\textcopyright} 2019, Springer-Verlag GmbH Germany, part of Springer Nature. We show that up to automorphism of PC2 there are 5 homogeneous convex foliations of degree four on PC2. Using this result, we give a partial answer to a question posed in 2013 by Mar{\'i}n and Pereira about the classification of reduced convex foliations on PC2.",

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AB - © 2019, Springer-Verlag GmbH Germany, part of Springer Nature. We show that up to automorphism of PC2 there are 5 homogeneous convex foliations of degree four on PC2. Using this result, we give a partial answer to a question posed in 2013 by Marín and Pereira about the classification of reduced convex foliations on PC2.

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KW - Inflection divisor

KW - Singularity

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