Grothendieck's existence theorem for formal schemes
GPTKB entity
Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Noetherian_schemes
|
| gptkbp:concerns |
coherent sheaves
formal schemes |
| gptkbp:field |
gptkb:algebraic_geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Grothendieck's existence theorem for formal schemes
|
| gptkbp:implies |
equivalence of categories between coherent sheaves on a formal scheme and compatible systems on thickenings
|
| gptkbp:namedAfter |
gptkb:Alexander_Grothendieck
|
| gptkbp:publishedIn |
gptkb:Éléments_de_géométrie_algébrique
|
| gptkbp:state |
coherent sheaves on a formal scheme are the limit of coherent sheaves on its thickenings
|
| gptkbp:year |
1960s
|
| gptkbp:bfsParent |
gptkb:SGA_(Séminaire_de_Géométrie_Algébrique)
|
| gptkbp:bfsLayer |
6
|