Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:cohomologyInterpretation |
H^1(X, O_X^*)
|
| gptkbp:defines |
group of isomorphism classes of line bundles on a scheme or variety
|
| gptkbp:field |
gptkb:algebraic_geometry
gptkb:topology |
| gptkbp:generalizes |
class group of a ring
|
| https://www.w3.org/2000/01/rdf-schema#label |
Picard group
|
| gptkbp:namedAfter |
gptkb:Émile_Picard
|
| gptkbp:notation |
Pic(X)
|
| gptkbp:operator |
tensor product of line bundles
|
| gptkbp:relatedTo |
gptkb:divisor_class_group
gptkb:invertible_sheaf line bundle |
| gptkbp:structure |
abelian group
|
| gptkbp:type |
gptkb:television_series
scheme |
| gptkbp:usedIn |
gptkb:moduli_problems
number theory complex geometry classification of algebraic varieties study of divisors |
| gptkbp:bfsParent |
gptkb:algebraic_geometry
gptkb:commutative_algebra gptkb:Algebraic_geometry |
| gptkbp:bfsLayer |
5
|