EGA
E254120
foundational work in algebraic geometry
mathematical treatise
multi-volume work
volume of Éléments de Géométrie Algébrique
EGA (Éléments de Géométrie Algébrique) is Alexander Grothendieck’s foundational multi-volume work that rigorously reformulated algebraic geometry using the language of schemes and sheaf theory.
All labels observed (1)
| Label | Occurrences |
|---|---|
| EGA canonical | 4 |
Statements (50)
| Predicate | Object |
|---|---|
| instanceOf |
foundational work in algebraic geometry
ⓘ
mathematical treatise ⓘ multi-volume work ⓘ volume of Éléments de Géométrie Algébrique ⓘ volume of Éléments de Géométrie Algébrique ⓘ volume of Éléments de Géométrie Algébrique ⓘ volume of Éléments de Géométrie Algébrique ⓘ |
| abbreviation | Publ. Math. IHÉS ⓘ |
| author | Alexander Grothendieck ⓘ |
| basedOn | commutative algebra ⓘ |
| coauthor | Jean Dieudonné ⓘ |
| defines |
Noetherian space
ⓘ
surface form:
Noetherian scheme
affine scheme ⓘ coherent sheaf ⓘ dimension of a scheme ⓘ fiber product of schemes ⓘ flat morphism ⓘ morphism of schemes ⓘ proper morphism ⓘ quasi-coherent sheaf ⓘ scheme ⓘ separated morphism of schemes ⓘ |
| field | algebraic geometry ⓘ |
| focusesOn |
coherent sheaves
ⓘ
dimension theory ⓘ divisors and Picard groups ⓘ flatness and fibers of morphisms ⓘ foundations of scheme theory ⓘ language of categories and functors ⓘ local study of schemes ⓘ proper morphisms ⓘ sheaf cohomology ⓘ |
| formalism |
category theory
ⓘ
functorial viewpoint ⓘ |
| fullName |
Éléments de géométrie algébrique
ⓘ
surface form:
Éléments de Géométrie Algébrique
|
| hasAbbreviation | EGA self-linksurface differs ⓘ |
| influenced |
modern algebraic geometry
ⓘ
the development of SGA (Séminaire de Géométrie Algébrique) ⓘ the theory of schemes ⓘ |
| introducesFramework | modern scheme-theoretic algebraic geometry ⓘ |
| language | French ⓘ |
| part |
EGA I
ⓘ
EGA II ⓘ EGA III ⓘ EGA IV ⓘ |
| publicationForm | series of journal articles ⓘ |
| publisher | Institut des Hautes Études Scientifiques ⓘ |
| startPublicationYear | 1960 ⓘ |
| usesConcept |
scheme theory
ⓘ
sheaf theory ⓘ |
Referenced by (4)
Full triples — surface form annotated when it differs from this entity's canonical label.
subject surface form:
Éléments de Géométrie Algébrique