Statements (14)
| Predicate | Object | 
|---|---|
| gptkbp:instanceOf | 
                                    
                                        
                                            gptkb:mathematical_concept
                                        
                                         | 
                            
| gptkbp:alsoKnownAs | 
                                    
                                        
                                            
                                            Epsilon conjecture
                                        
                                        
                                         | 
                            
| gptkbp:field | 
                                    
                                        
                                            gptkb:Number_theory
                                        
                                         | 
                            
| gptkbp:implies | 
                                    
                                        
                                            
                                            Fermat's Last Theorem follows from the modularity theorem for semistable elliptic curves
                                        
                                        
                                         | 
                            
| gptkbp:importantFor | 
                                    
                                        
                                            
                                            Key step in the proof of Fermat's Last Theorem
                                        
                                        
                                         | 
                            
| gptkbp:provenBy | 
                                    
                                        
                                            gptkb:Ken_Ribet
                                        
                                         | 
                            
| gptkbp:publishedIn | 
                                    
                                        
                                            gptkb:Annals_of_Mathematics
                                        
                                         | 
                            
| gptkbp:relatedTo | 
                                    
                                        
                                            gptkb:Taniyama–Shimura_conjecture
                                        
                                         gptkb:Fermat's_Last_Theorem  | 
                            
| gptkbp:state | 
                                    
                                        
                                            
                                            If a semistable elliptic curve is not modular, then there exists a non-modular Galois representation attached to a modular form of weight 2
                                        
                                        
                                         | 
                            
| gptkbp:yearProved | 
                                    
                                        
                                            
                                            1986
                                        
                                        
                                         | 
                            
| gptkbp:bfsParent | 
                                    
                                        
                                            gptkb:Großer_Fermatscher_Satz
                                        
                                         | 
                            
| gptkbp:bfsLayer | 
                                    
                                        
                                            
                                            8
                                        
                                        
                                         | 
                            
| https://www.w3.org/2000/01/rdf-schema#label | 
                                    
                                        
                                            
                                            Ribet's Theorem
                                        
                                        
                                         |