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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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

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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