Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebraic_geometry
|
| gptkbp:associatedWith |
gptkb:Picard_group
gptkb:divisor_class_group |
| gptkbp:category |
gptkb:mathematics
|
| gptkbp:definedIn |
gptkb:Field
|
| gptkbp:dimensions |
genus of the curve
|
| gptkbp:generalizes |
elliptic curves
|
| gptkbp:hasPoint |
degree zero divisor classes
|
| gptkbp:heldBy |
the group of degree zero divisors modulo principal divisors
the Picard group of degree zero line bundles |
| https://www.w3.org/2000/01/rdf-schema#label |
Jacobian varieties
|
| gptkbp:namedAfter |
gptkb:Carl_Gustav_Jacob_Jacobi
|
| gptkbp:relatedTo |
gptkb:Torelli_theorem
gptkb:Riemann-Roch_theorem gptkb:moduli_space_of_curves algebraic curves theta functions Abel-Jacobi map |
| gptkbp:structure |
projective variety
commutative algebraic group group variety |
| gptkbp:usedFor |
gptkb:moduli_problems
cryptography number theory |
| gptkbp:usedIn |
gptkb:algebraic_geometry
|
| gptkbp:bfsParent |
gptkb:Richelot's_theorem
|
| gptkbp:bfsLayer |
7
|