Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
projective plane
blowup of projective plane at general points |
| gptkbp:concerns |
linear systems of plane curves
|
| gptkbp:field |
gptkb:algebraic_geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Nagata's conjecture
|
| gptkbp:proposedBy |
gptkb:Masayoshi_Nagata
|
| gptkbp:relatedTo |
gptkb:Seshadri_constant
Hilbert's 14th problem |
| gptkbp:sentence |
For n ≥ 10 general points in the projective plane, the minimal degree d of a plane curve passing through each point with multiplicity at least m satisfies d ≥ m√n.
|
| gptkbp:status |
open
|
| gptkbp:yearProposed |
1959
|
| gptkbp:bfsParent |
gptkb:Masayoshi_Nagata
|
| gptkbp:bfsLayer |
5
|