On the classification of foliations of degree three with one singularity. (September 2022)

• Record Type: Journal Article
• Authors: Coutinho, S.C.
• Is Part Of: Journal of symbolic computation. Volume 112(2022)
• Page Start: 62
• Page End: 78
• Publication Date: 2022-09
• Subjects: primary 32M25 -- secondary 32S65 13P10 13P15; Holomorphic foliation -- Algebraic solution -- Singularity; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2022.01.001
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: With the help of the Axiom computer algebra system we give a computer aided proof of the classification of foliations of the projective plane with only one singularity and finite non-trivial isotropy group and study their algebraic solutions.