the Jacobian variety for a smooth projective curve
GPTKB entity
Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebraic_geometry
|
| gptkbp:associatedWith |
smooth projective curve
|
| gptkbp:dimensions |
genus of the curve
|
| gptkbp:hasGroupStructure |
yes
|
| gptkbp:heldBy |
the quotient of the space of holomorphic 1-forms by the period lattice (in the complex case)
a principally polarized abelian variety the Albanese variety of the curve the Picard variety of degree zero the moduli space of degree zero line bundles |
| https://www.w3.org/2000/01/rdf-schema#label |
the Jacobian variety for a smooth projective curve
|
| gptkbp:namedAfter |
gptkb:Carl_Gustav_Jacob_Jacobi
|
| gptkbp:parameter |
degree zero line bundles
divisor classes of degree zero |
| gptkbp:usedIn |
gptkb:algebraic_geometry
number theory |
| gptkbp:bfsParent |
gptkb:the_Albanese_variety_of_a_curve
|
| gptkbp:bfsLayer |
7
|