Foliations on the projective plane with finite group of symmetries

DOI10.2422/2036-2145.201906_011zbMath1484.32036arXiv1806.02844OpenAlexW2910619416MaRDI QIDQ5161601

Alan Muniz, Rudy Rosas

Publication date: 1 November 2021

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.02844

zbMATH Keywords

finite automorphism groupsingular holomorphic foliations on \(\mathbb P^2\)

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Singularities of holomorphic vector fields and foliations (32S65) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25)

Related Items (1)

On the classification of foliations of degree three with one singularity

Uses Software

• ATLAS Group Representations

Cites Work

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• Rigid flat web on the projective plane
• The Hesse pencil of plane cubic curves
• Equations de Pfaff algébriques
• Schur indices and splitting fields of the unitary reflection groups
• Transformation groups of holomorphic foliations
• The index of a holomorphic flow with an isolated singularity
• Polynomial bounds for automorphisms groups of foliations
• On the order of the automorphism group of foliations
• Liouvillian integration and Bernoulli foliations
• A plane foliation of degree different from 1 is determined by its singular scheme
• Birational Geometry of Foliations
• Automorphisms and non-integrability

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