Arrangements of inflectional lines, hyperosculating conics, and plane cubics
Volume 72 / 2024
                    
                    
                        Bulletin Polish Acad. Sci. Math. 72 (2024), 61-66                    
                                        
                        MSC: Primary 14N25; Secondary 14C20, 32S25                    
                                        
                        DOI: 10.4064/ba240119-22-5                    
                                            
                            Published online: 19 June 2024                        
                                    
                                                Abstract
We study some arrangements of inflectional lines, hyperosculating conics, and a nodal plane cubic that are free. Moreover, we study weak combinatorics of arrangements consisting of lines, conics, and elliptic curves, providing natural constraints on them.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            