Statements (50)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:basisFor |
gptkb:étale_cohomology
gptkb:Grothendieck_topologies modern algebraic geometry motivic cohomology modern intersection theory stack theory |
| gptkbp:enables |
study of singularities
study of moduli spaces study of cohomology study of morphisms |
| gptkbp:field |
gptkb:algebraic_geometry
|
| gptkbp:formedBy |
gptkb:Éléments_de_géométrie_algébrique
|
| gptkbp:generalizes |
algebraic varieties
|
| gptkbp:hasConcept |
gptkb:locally_ringed_space
gptkb:structure_sheaf spectrum of a ring |
| https://www.w3.org/2000/01/rdf-schema#label |
Grothendieck's schemes
|
| gptkbp:introduced |
gptkb:Alexander_Grothendieck
|
| gptkbp:introducedIn |
1960s
|
| gptkbp:relatedTo |
gptkb:Zariski_topology
projective scheme flatness functor of points Noetherian scheme affine scheme fiber product of schemes irreducible scheme morphism of schemes properness reduced scheme scheme morphism scheme over a base scheme-theoretic base change scheme-theoretic closure scheme-theoretic direct image scheme-theoretic fiber scheme-theoretic fiber product scheme-theoretic image scheme-theoretic intersection scheme-theoretic inverse image scheme-theoretic pullback scheme-theoretic pushforward scheme-theoretic support separatedness |
| gptkbp:usedIn |
number theory
arithmetic geometry |
| gptkbp:bfsParent |
gptkb:algebraic_geometry
gptkb:Algebraic_geometry |
| gptkbp:bfsLayer |
5
|