Grothendieck's splitting theorem
GPTKB entity
Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
splitting theorem for vector bundles on the projective line
|
| gptkbp:appliesTo |
gptkb:vector_bundles
projective line |
| gptkbp:field |
gptkb:algebraic_geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Grothendieck's splitting theorem
|
| gptkbp:implies |
classification of vector bundles on the projective line
|
| gptkbp:namedAfter |
gptkb:Alexander_Grothendieck
|
| gptkbp:publishedIn |
Sur la classification des fibrés holomorphes sur la sphère de Riemann
|
| gptkbp:sentence |
Every vector bundle on the projective line over a field splits as a direct sum of line bundles.
|
| gptkbp:yearProved |
1957
|
| gptkbp:bfsParent |
gptkb:Grothendieck's_theorem_on_vector_bundles_on_the_projective_line
|
| gptkbp:bfsLayer |
7
|