Théorie des intersections et théorème de Riemann–Roch
E886195
"Théorie des intersections et théorème de Riemann–Roch" is a volume of the Séminaire de Géométrie Algébrique (SGA 6) that develops the foundations of intersection theory in algebraic geometry and establishes a general form of the Riemann–Roch theorem.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Théorie des intersections et théorème de Riemann–Roch canonical | 1 |
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
SGA volume
ⓘ
mathematics book ⓘ seminar proceedings ⓘ |
| abbreviation | SGA 6 NERFINISHED ⓘ |
| appliesTo |
proper morphisms of schemes
ⓘ
schemes ⓘ |
| author | Alexander Grothendieck NERFINISHED ⓘ |
| basedOn | Grothendieck’s seminars at IHÉS NERFINISHED ⓘ |
| contains |
construction of Chern classes in K-theory
ⓘ
exposition of Grothendieck–Riemann–Roch in generality ⓘ formalism of operations on Chow groups ⓘ |
| countryOfOrigin | France ⓘ |
| develops | foundations of intersection theory in algebraic geometry ⓘ |
| editor |
Alexander Grothendieck
NERFINISHED
ⓘ
Luc Illusie NERFINISHED ⓘ Pierre Berthelot NERFINISHED ⓘ |
| establishes | general form of the Riemann–Roch theorem ⓘ |
| field | algebraic geometry ⓘ |
| focusesOn |
Riemann–Roch theorem
NERFINISHED
ⓘ
intersection theory ⓘ |
| hasFormat |
digital PDF
ⓘ
printed book ⓘ |
| influenced |
Fulton’s Intersection Theory
NERFINISHED
ⓘ
development of algebraic K-theory ⓘ modern intersection theory ⓘ |
| institution | IHÉS NERFINISHED ⓘ |
| language | French ⓘ |
| LNMNumber | 225 ⓘ |
| originalSeminarYears | 1966–1967 GENERATED ⓘ |
| partOf | Séminaire de Géométrie Algébrique du Bois Marie NERFINISHED ⓘ |
| publicationYear | 1971 ⓘ |
| publisher | Springer-Verlag NERFINISHED ⓘ |
| relatedTo |
SGA 5
NERFINISHED
ⓘ
SGA 7 NERFINISHED ⓘ Éléments de géométrie algébrique NERFINISHED ⓘ |
| series | Lecture Notes in Mathematics NERFINISHED ⓘ |
| subject |
Chern classes
ⓘ
Chow groups ⓘ Grothendieck groups NERFINISHED ⓘ Grothendieck–Riemann–Roch theorem NERFINISHED ⓘ K-theory NERFINISHED ⓘ Riemann–Roch for higher-dimensional varieties NERFINISHED ⓘ coherent sheaves ⓘ cycle classes ⓘ derived functors in algebraic geometry ⓘ functoriality of Riemann–Roch ⓘ proper morphisms of schemes ⓘ |
| title | Théorie des intersections et théorème de Riemann–Roch NERFINISHED ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.