Castelnuovo–de Franchis theorem
GPTKB entity
Statements (11)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
holomorphic 1-forms
irregular algebraic surfaces |
| gptkbp:field |
gptkb:algebraic_geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Castelnuovo–de Franchis theorem
|
| gptkbp:namedAfter |
gptkb:Guido_Castelnuovo
gptkb:Michele_de_Franchis |
| gptkbp:publishedIn |
early 20th century
|
| gptkbp:state |
If a compact complex surface admits two linearly independent holomorphic 1-forms whose wedge product is zero, then the surface admits a non-trivial fibration over a curve of genus at least 2.
|
| gptkbp:bfsParent |
gptkb:Guido_Castelnuovo
|
| gptkbp:bfsLayer |
6
|