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