Castelnuovo–Mumford regularity
                        
                            GPTKB entity
                        
                    
                Statements (18)
| Predicate | Object | 
|---|---|
| gptkbp:instanceOf | 
                                    
                                        
                                            gptkb:mathematical_concept
                                        
                                         | 
                            
| gptkbp:appliesTo | 
                                    
                                        
                                            
                                            coherent sheaves
                                        
                                        
                                         graded modules over polynomial rings  | 
                            
| gptkbp:defines | 
                                    
                                        
                                            
                                            minimal graded free resolution
                                        
                                        
                                         vanishing of cohomology groups  | 
                            
| gptkbp:describes | 
                                    
                                        
                                            
                                            complexity of graded modules
                                        
                                        
                                         | 
                            
| gptkbp:field | 
                                    
                                        
                                            gptkb:algebraic_geometry
                                        
                                         gptkb:commutative_algebra  | 
                            
| gptkbp:introducedIn | 
                                    
                                        
                                            
                                            1966
                                        
                                        
                                         | 
                            
| gptkbp:namedAfter | 
                                    
                                        
                                            gptkb:Guido_Castelnuovo
                                        
                                         gptkb:David_Mumford  | 
                            
| gptkbp:relatedTo | 
                                    
                                        
                                            gptkb:Hilbert_polynomial
                                        
                                         free resolutions  | 
                            
| gptkbp:usedIn | 
                                    
                                        
                                            gptkb:geometry
                                        
                                         syzygy theory  | 
                            
| gptkbp:bfsParent | 
                                    
                                        
                                            gptkb:Guido_Castelnuovo
                                        
                                         | 
                            
| gptkbp:bfsLayer | 
                                    
                                        
                                            
                                            6
                                        
                                        
                                         | 
                            
| https://www.w3.org/2000/01/rdf-schema#label | 
                                    
                                        
                                            
                                            Castelnuovo–Mumford regularity
                                        
                                        
                                         |