Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebraic_geometry
gptkb:mathematical_concept |
| gptkbp:automorphismGroup |
gptkb:group_of_people
|
| gptkbp:containsGenus |
g ≥ 2
|
| gptkbp:definedIn |
gptkb:Field
|
| gptkbp:f(x) |
polynomial of degree ≥ 5
|
| gptkbp:generalizes |
gptkb:elliptic_curve
|
| gptkbp:genus |
g ≥ 2
|
| gptkbp:hasApplication |
coding theory
cryptography number theory |
| gptkbp:hasCovering |
double cover of projective line
|
| gptkbp:hasEquation |
y^2 = f(x)
|
| gptkbp:hasFunctionField |
gptkb:hyperelliptic_function_field
|
| gptkbp:hasJacobian |
gptkb:hyperelliptic_Jacobian
|
| gptkbp:hasModuliSpace |
moduli space of hyperelliptic curves
|
| gptkbp:hasRationalPoints |
depends on field
|
| https://www.w3.org/2000/01/rdf-schema#label |
hyperelliptic curves
|
| gptkbp:studiedIn |
gptkb:algebraic_geometry
|
| gptkbp:subclassOf |
gptkb:algebraic_geometry
|
| gptkbp:usedIn |
cryptography
|
| gptkbp:bfsParent |
gptkb:moduli_space_of_curves
gptkb:Kedlaya's_algorithm gptkb:Clifford_index |
| gptkbp:bfsLayer |
6
|