Grothendieck's Lefschetz theorems
GPTKB entity
Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
projective varieties
ample divisors |
| gptkbp:concerns |
cohomology of algebraic varieties
fundamental group of algebraic varieties |
| gptkbp:field |
gptkb:algebraic_geometry
|
| gptkbp:generalizes |
gptkb:Lefschetz_hyperplane_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Grothendieck's Lefschetz theorems
|
| gptkbp:influenced |
modern algebraic geometry
|
| gptkbp:namedAfter |
gptkb:Alexander_Grothendieck
|
| gptkbp:publishedIn |
gptkb:Séminaire_de_Géométrie_Algébrique_du_Bois_Marie_(SGA_2)
|
| gptkbp:state |
the inclusion of a hyperplane section induces isomorphisms on cohomology in certain degrees
the inclusion of a hyperplane section induces a surjection on the fundamental group |
| gptkbp:uses |
gptkb:étale_cohomology
|
| gptkbp:year |
1962
|
| gptkbp:bfsParent |
gptkb:SGA_(Séminaire_de_Géométrie_Algébrique)
|
| gptkbp:bfsLayer |
6
|