EGA I
E884913
EGA I is the first volume of the foundational algebraic geometry treatise "Éléments de Géométrie Algébrique" by Grothendieck and Dieudonné, introducing the basic language and concepts of schemes.
All labels observed (1)
| Label | Occurrences |
|---|---|
| EGA I canonical | 2 |
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
mathematics book
ⓘ
research monograph ⓘ volume of Éléments de Géométrie Algébrique ⓘ |
| aim | to provide a rigorous foundation for algebraic geometry ⓘ |
| audience |
advanced graduate students in algebraic geometry
ⓘ
research mathematicians ⓘ |
| author |
Alexander Grothendieck
NERFINISHED
ⓘ
Jean Dieudonné NERFINISHED ⓘ |
| coAuthorRole |
Dieudonné as expositor and editor
ⓘ
Grothendieck as principal author ⓘ |
| conceptualRole |
basis for later volumes of EGA
ⓘ
introduction to the language of schemes ⓘ |
| field | algebraic geometry ⓘ |
| hasPart |
EGA I, Deuxième partie
NERFINISHED
ⓘ
EGA I, Première partie NERFINISHED ⓘ |
| hasSection |
foundations of commutative algebra for schemes
ⓘ
locally ringed spaces and morphisms ⓘ sheaves and presheaves on topological spaces ⓘ topological properties of spectra ⓘ |
| historicalPeriod | 20th-century mathematics ⓘ |
| influenced |
Hartshorne’s Algebraic Geometry
NERFINISHED
ⓘ
modern scheme-theoretic algebraic geometry ⓘ |
| introducesConcept |
affine scheme
ⓘ
fiber product of schemes ⓘ finite type morphism ⓘ locally ringed space ⓘ morphism of schemes ⓘ quasi-coherent sheaf ⓘ scheme ⓘ separated morphism ⓘ spectrum of a ring ⓘ structure sheaf of a scheme ⓘ universal property in algebraic geometry ⓘ |
| language | French ⓘ |
| notationStyle | Bourbaki-influenced formalism ⓘ |
| partOf | Éléments de Géométrie Algébrique NERFINISHED ⓘ |
| positionInSeries | 1 ⓘ |
| precedes | EGA II NERFINISHED ⓘ |
| publicationType |
journal article
ⓘ
monograph ⓘ |
| publishedIn | Publications Mathématiques de l’IHÉS NERFINISHED ⓘ |
| publisher | Institut des Hautes Études Scientifiques NERFINISHED ⓘ |
| series | Éléments de Géométrie Algébrique NERFINISHED ⓘ |
| shortTitle | EGA I NERFINISHED ⓘ |
| subject |
commutative algebra
ⓘ
foundations of algebraic geometry ⓘ schemes ⓘ sheaf theory ⓘ |
| title | Éléments de Géométrie Algébrique I NERFINISHED ⓘ |
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.