Electronic Journal of Differential Equations, Vol. 2021 (2021), No. 83, pp. 1-110.

Title: Cubic differential systems with invariant straight lines of total multiplicity
       seven and four real distinct infinite singularities
       
Authors: Cristina Bujac (Vladimir Andrunachievici Institute, Chisinau, Moldova)
         Dana Schlomiuk (Univ. de Montreal, Quebec, Canada)
         Nicolae Vulpe  (Vladimir Andrunachievici Institute, Chisinau, Moldova)

Abstract:
 In this article we consider the class CSL<sub>7</sub><sup>4s&infin;</sup> of
 non-degenerate real planar cubic vector fields possessing four distinct
 real infinite singularities and invariant straight lines, including the line
 at infinity of total multiplicity 7. We prove that there are
 exactly 93 distinct configurations of invariant straight lines for
 this class, and present corresponding examples for the realization
 of each one of the detected configurations.

Submitted December 21, 2018. Published October 03, 2021.
Math Subject Classifications: 58K45, 34C05, 34A34.
Key Words: Cubic vector field; invariant straight line; multiplicity of singularity;
           infinite and finite singularities; multiplicity of invariant lines;
           configurations of invariant straight lines.