Éléments de géométrie algébrique
E254127
Éléments de géométrie algébrique is a foundational multi-volume treatise that reshaped modern algebraic geometry by developing the theory of schemes and cohomology in a highly general, abstract framework.
All labels observed (4)
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
mathematics book
ⓘ
multi-volume work ⓘ treatise ⓘ |
| abbreviation | EGA ⓘ |
| aim | rebuild foundations of algebraic geometry ⓘ |
| author | Alexander Grothendieck ⓘ |
| basedOn | Zariski topology ⓘ |
| coauthor | Jean Dieudonné ⓘ |
| contains |
EGA I
ⓘ
EGA II ⓘ EGA III ⓘ EGA IV ⓘ |
| countryOfPublication | France ⓘ |
| develops |
Grothendieck topologies (in preparatory form)
ⓘ
dimension theory of schemes ⓘ flatness and fibered products ⓘ formal schemes ⓘ sheaf cohomology ⓘ theory of morphisms of schemes ⓘ theory of schemes ⓘ |
| EGA I topic | foundations and language of schemes ⓘ |
| EGA II topic | étude globale élémentaire de quelques classes de morphismes ⓘ |
| EGA III topic | cohomologie des faisceaux cohérents ⓘ |
| EGA IV topic | étude locale des schémas et des morphismes de schémas ⓘ |
| field | algebraic geometry ⓘ |
| impact |
replaced classical variety-based foundations
ⓘ
standard reference for scheme theory ⓘ |
| influenced |
Grothendieck’s scheme-theoretic framework
ⓘ
surface form:
Grothendieck school of algebraic geometry
modern algebraic geometry ⓘ scheme-theoretic approach to geometry ⓘ |
| language | French ⓘ |
| mainTopic |
cohomology
ⓘ
foundations of algebraic geometry ⓘ scheme theory ⓘ |
| notableConcept |
Grothendieck’s relative viewpoint
ⓘ
functor of points perspective ⓘ |
| partCount | 8 ⓘ |
| predecessor | Foundations of Algebraic Geometry ⓘ |
| publicationEndYear | 1967 ⓘ |
| publicationStartYear | 1960 ⓘ |
| publishedIn |
Publ. Math. IHÉS
ⓘ
surface form:
Publications Mathématiques de l’IHÉS
|
| publisher | Institut des Hautes Études Scientifiques ⓘ |
| relatedWork |
Séminaire de Géométrie Algébrique du Bois Marie
ⓘ
surface form:
Séminaire de Géométrie Algébrique (SGA)
|
| style |
axiomatic
ⓘ
highly abstract ⓘ |
| targetAudience | research mathematicians ⓘ |
| uses |
category theory
ⓘ
homological algebra ⓘ |
| volumeCount | 4 ⓘ |
Referenced by (9)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Éléments de Géométrie Algébrique
this entity surface form:
EGA (Éléments de Géométrie Algébrique)
this entity surface form:
EGA (Éléments de Géométrie Algébrique)
this entity surface form:
Éléments de géométrie algébrique (with Alexander Grothendieck)