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.

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Statements (48)

Predicate Object
instanceOf SGA volume ⓘ
mathematics book ⓘ
seminar proceedings ⓘ
abbreviation SGA 6 ⓘ
appliesTo proper morphisms of schemes ⓘ
schemes ⓘ
author Alexander Grothendieck ⓘ
basedOn Grothendieck’s seminars at IHÉS ⓘ
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 ⓘ
Luc Illusie ⓘ
Pierre Berthelot ⓘ
establishes general form of the Riemann–Roch theorem ⓘ
field algebraic geometry ⓘ
focusesOn Riemann–Roch theorem ⓘ
intersection theory ⓘ
hasFormat digital PDF ⓘ
printed book ⓘ
influenced Fulton’s Intersection Theory ⓘ
development of algebraic K-theory ⓘ
modern intersection theory ⓘ
institution IHÉS ⓘ
language French ⓘ
LNMNumber 225 ⓘ
originalSeminarYears 1966–1967 ⓘ
partOf Séminaire de Géométrie Algébrique du Bois Marie ⓘ
publicationYear 1971 ⓘ
publisher Springer-Verlag ⓘ
linked to: Springer
relatedTo SGA 5 ⓘ
linked to: SGA 4½

SGA 7 ⓘ
Éléments de géométrie algébrique ⓘ
series Lecture Notes in Mathematics ⓘ
subject Chern classes ⓘ
Chow groups ⓘ
Grothendieck groups ⓘ
linked to: Grothendieck group

Grothendieck–Riemann–Roch theorem ⓘ
K-theory ⓘ
Riemann–Roch for higher-dimensional varieties ⓘ
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 ⓘ

How these facts were elicited

Referenced by (3)

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

SGA 6 → title → Théorie des intersections et théorème de Riemann–Roch ⓘ
subject linked to: SGA
Théorie des topos et cohomologie étale des schémas → relatedWork → Théorie des intersections et théorème de Riemann–Roch (SGA 6) ⓘ
linked to: Théorie des intersections et théorème de Riemann–Roch
Théorie des intersections et théorème de Riemann–Roch → title → Théorie des intersections et théorème de Riemann–Roch ⓘ