EGA IV
E884915
EGA IV is the fourth and most extensive part of Grothendieck and Dieudonné’s foundational treatise Éléments de Géométrie Algébrique, developing the general theory of schemes and morphisms in modern algebraic geometry.
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematical treatise ⓘ part of Éléments de Géométrie Algébrique ⓘ |
| author |
Alexander Grothendieck
NERFINISHED
ⓘ
Jean Dieudonné NERFINISHED ⓘ |
| consistsOf |
EGA IV.1
NERFINISHED
ⓘ
EGA IV.2 NERFINISHED ⓘ EGA IV.3 NERFINISHED ⓘ EGA IV.4 ⓘ |
| defines | various classes of morphisms of schemes ⓘ |
| develops |
Noetherian schemes
ⓘ
base change for morphisms ⓘ coherent sheaves on schemes ⓘ constructible sets in schemes ⓘ dimension theory of schemes ⓘ fibered products of schemes ⓘ finiteness conditions for morphisms ⓘ flat morphisms ⓘ flatness theory ⓘ general theory of morphisms of schemes ⓘ general theory of schemes ⓘ generic fibers and special fibers ⓘ projective morphisms ⓘ proper morphisms ⓘ separated morphisms ⓘ smooth morphisms ⓘ unramified morphisms ⓘ étale morphisms ⓘ |
| field | algebraic geometry ⓘ |
| firstPublicationYear | 1964 ⓘ |
| hasStatus | most extensive part of Éléments de Géométrie Algébrique ⓘ |
| influenced | modern scheme-theoretic algebraic geometry ⓘ |
| inSeriesAfter | EGA III NERFINISHED ⓘ |
| inSeriesBefore | EGA V NERFINISHED ⓘ |
| institution | IHÉS NERFINISHED ⓘ |
| isPartOfSeries | EGA NERFINISHED ⓘ |
| language | French ⓘ |
| lastPublicationYear | 1967 ⓘ |
| partOf | Éléments de Géométrie Algébrique NERFINISHED ⓘ |
| publicationPeriod | 1964–1967 ⓘ |
| publicationPlace | Bures-sur-Yvette NERFINISHED ⓘ |
| publishedIn | Publications Mathématiques de l’IHÉS NERFINISHED ⓘ |
| publisher | Publications Mathématiques de l’IHÉS NERFINISHED ⓘ |
| seriesNumber | 4 ⓘ |
| subject |
foundations of algebraic geometry
ⓘ
morphisms of schemes ⓘ scheme theory ⓘ |
| subtitle | Étude locale des schémas et des morphismes de schémas NERFINISHED ⓘ |
| title | Éléments de Géométrie Algébrique IV NERFINISHED ⓘ |
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.