Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebraic_geometry
|
| gptkbp:dimensions |
genus of the curve
|
| gptkbp:field |
gptkb:mathematics
|
| gptkbp:generalizes |
gptkb:elliptic_curve
|
| gptkbp:hasSubfield |
gptkb:algebraic_geometry
|
| gptkbp:heldBy |
gptkb:the_Albanese_variety_of_a_curve
gptkb:projective_variety an abelian variety commutative algebraic group connected variety the Picard variety of a curve |
| gptkbp:introduced |
gptkb:Carl_Gustav_Jacobi
|
| gptkbp:notation |
Jac(C) for a curve C
|
| gptkbp:parameter |
degree zero line bundles on a curve
|
| gptkbp:relatedTo |
gptkb:algebraic_geometry
gptkb:Torelli_theorem gptkb:Riemann-Roch_theorem gptkb:divisor_class_group gptkb:moduli_space_of_curves |
| gptkbp:structure |
gptkb:group_of_people
|
| gptkbp:usedIn |
cryptography
number theory moduli theory |
| gptkbp:bfsParent |
gptkb:Algebraic_curves
gptkb:Algebraic_geometry |
| gptkbp:bfsLayer |
6
|
| https://www.w3.org/2000/01/rdf-schema#label |
Jacobian variety
|