Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
surfaces of general type
zero-cycles |
| gptkbp:field |
gptkb:algebraic_geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Bloch conjecture
|
| gptkbp:namedAfter |
gptkb:Spencer_Bloch
|
| gptkbp:proposedBy |
1970s
|
| gptkbp:provenBy |
surfaces with Kodaira dimension zero
|
| gptkbp:relatedTo |
motivic cohomology
rational equivalence Chow group of zero-cycles |
| gptkbp:state |
If a smooth projective surface S over the complex numbers has geometric genus zero, then every zero-cycle of degree zero is rationally equivalent to zero.
|
| gptkbp:status |
open (in general)
|
| gptkbp:bfsParent |
gptkb:Bloch–Beilinson_conjecture
|
| gptkbp:bfsLayer |
7
|