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.

All labels observed (4)

Label Occurrences
EGA IV canonical 3
EGA IV.1 1
EGA IV.2 1

How this entity was disambiguated

Statements (49)

Predicate Object
instanceOf book ⓘ
mathematical treatise ⓘ
part of Éléments de Géométrie Algébrique ⓘ
author Alexander Grothendieck ⓘ
Jean Dieudonné ⓘ
consistsOf EGA IV.1 ⓘ
linked to: EGA IV

EGA IV.2 ⓘ
linked to: EGA IV

EGA IV.3 ⓘ
linked to: EGA IV

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 ⓘ
inSeriesBefore EGA V ⓘ
institution IHÉS ⓘ
isPartOfSeries EGA ⓘ
language French ⓘ
lastPublicationYear 1967 ⓘ
partOf Éléments de Géométrie Algébrique ⓘ
publicationPeriod 1964–1967 ⓘ
publicationPlace Bures-sur-Yvette ⓘ
publishedIn Publications Mathématiques de l’IHÉS ⓘ
linked to: Publ. Math. IHÉS
publisher Publications Mathématiques de l’IHÉS ⓘ
linked to: Publ. Math. IHÉS
seriesNumber 4 ⓘ
subject foundations of algebraic geometry ⓘ
morphisms of schemes ⓘ
scheme theory ⓘ
subtitle Étude locale des schémas et des morphismes de schémas ⓘ
title Éléments de Géométrie Algébrique IV ⓘ

How these facts were elicited

Referenced by (6)

Full triples — surface form annotated when it differs from this entity's canonical label.

Éléments de Géométrie Algébrique → part → EGA IV ⓘ
subject linked to: EGA
EGA III → precedes → EGA IV ⓘ
EGA IV → consistsOf → EGA IV.1 ⓘ
linked to: EGA IV
EGA IV → consistsOf → EGA IV.2 ⓘ
linked to: EGA IV
EGA IV → consistsOf → EGA IV.3 ⓘ
linked to: EGA IV