Points algébriques de degrés au plus 12 sur la quintique de Fermat
Volume 169 / 2015
                    
                    
                        Acta Arithmetica 169 (2015), 385-395                    
                                        
                        MSC: Primary 11G30; Secondary 14H25, 14H45.                    
                                        
                        DOI: 10.4064/aa169-4-6                    
                                    
                                                Abstract
We determine explicitly the set of algebraic points of degree at most 12 over $\mathbb {Q}$ on the Fermat quintic. This extends a previous result given by M. Klassen and P. Tzermias (1997), who described the set of algebraic points of degree at most 6 over $\mathbb {Q}$.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            