Statements (16)
| Predicate | Object | 
|---|---|
| gptkbp:instanceOf | 
                                    
                                        
                                            gptkb:mathematical_concept
                                        
                                         | 
                            
| gptkbp:appliesTo | 
                                    
                                        
                                            
                                            elliptic curves
                                        
                                        
                                         abelian varieties  | 
                            
| gptkbp:field | 
                                    
                                        
                                            
                                            algebraic number theory
                                        
                                        
                                         arithmetic geometry  | 
                            
| gptkbp:heldBy | 
                                    
                                        
                                            
                                            bilinear pairing
                                        
                                        
                                         alternating pairing  | 
                            
| gptkbp:introducedIn | 
                                    
                                        
                                            
                                            1960s
                                        
                                        
                                         | 
                            
| gptkbp:namedAfter | 
                                    
                                        
                                            gptkb:John_Tate
                                        
                                         gptkb:John_W._S._Cassels  | 
                            
| gptkbp:relatedTo | 
                                    
                                        
                                            gptkb:Tate–Shafarevich_group
                                        
                                         | 
                            
| gptkbp:studiedIn | 
                                    
                                        
                                            gptkb:Mordell–Weil_group
                                        
                                         | 
                            
| gptkbp:usedFor | 
                                    
                                        
                                            
                                            studying the structure of the Tate–Shafarevich group
                                        
                                        
                                         | 
                            
| gptkbp:bfsParent | 
                                    
                                        
                                            gptkb:J._W._S._Cassels
                                        
                                         | 
                            
| gptkbp:bfsLayer | 
                                    
                                        
                                            
                                            7
                                        
                                        
                                         | 
                            
| https://www.w3.org/2000/01/rdf-schema#label | 
                                    
                                        
                                            
                                            Cassels–Tate pairing
                                        
                                        
                                         |