Statements (15)
| Predicate | Object | 
|---|---|
| gptkbp:instanceOf | 
                                    
                                        
                                            gptkb:mathematical_concept
                                        
                                         | 
                            
| gptkbp:appliesTo | 
                                    
                                        
                                            
                                            varieties over finite fields
                                        
                                        
                                         | 
                            
| gptkbp:arXivID | 
                                    
                                        
                                            
                                            math/0302309
                                        
                                        
                                         | 
                            
| gptkbp:author | 
                                    
                                        
                                            gptkb:Bjorn_Poonen
                                        
                                         | 
                            
| gptkbp:citation | 
                                    
                                        
                                            
                                            research on Bertini-type theorems in positive characteristic
                                        
                                        
                                         | 
                            
| gptkbp:field | 
                                    
                                        
                                            gptkb:algebraic_geometry
                                        
                                         | 
                            
| gptkbp:generalizes | 
                                    
                                        
                                            gptkb:Bertini's_theorem
                                        
                                         | 
                            
| gptkbp:influenced | 
                                    
                                        
                                            
                                            study of random algebraic varieties over finite fields
                                        
                                        
                                         | 
                            
| gptkbp:MRNumber | 
                                    
                                        
                                            
                                            MR2103483
                                        
                                        
                                         | 
                            
| gptkbp:publicationYear | 
                                    
                                        
                                            
                                            2004
                                        
                                        
                                         | 
                            
| gptkbp:publishedIn | 
                                    
                                        
                                            gptkb:Annals_of_Mathematics
                                        
                                         | 
                            
| gptkbp:sentence | 
                                    
                                        
                                            
                                            A random hypersurface section of a smooth variety over a finite field is smooth with probability tending to 1 as the degree increases.
                                        
                                        
                                         | 
                            
| gptkbp:bfsParent | 
                                    
                                        
                                            gptkb:Bjorn_Poonen
                                        
                                         | 
                            
| gptkbp:bfsLayer | 
                                    
                                        
                                            
                                            6
                                        
                                        
                                         | 
                            
| https://www.w3.org/2000/01/rdf-schema#label | 
                                    
                                        
                                            
                                            Poonen's Bertini theorem
                                        
                                        
                                         |