Incidence relation for primes of a global function field
Volume 121 / 2020
                    
                    
                        Banach Center Publications 121 (2020), 45-51                    
                                        
                        MSC: 11G20, 11R65, 11R45, 14C22, 05C40.                    
                                        
                        DOI: 10.4064/bc121-4                    
                                    
                                                Abstract
We show that primes of any global function field (of characteristic $\not =2$ and containing a square root of $-1$) form a connected graph of diameter $2$. This fact generalizes our earlier result concerning the graph of even points.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            