Statements (24)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:Lie_group
gptkb:Abelian_surface |
gptkbp:can_be_decomposable_for_special_curves |
true
|
gptkbp:dimensions |
2
|
gptkbp:has_endomorphism_ring |
may be larger than Z for special curves
|
https://www.w3.org/2000/01/rdf-schema#label |
Jacobian of a genus 2 curve
|
gptkbp:is_a_commutative_algebraic_group |
true
|
gptkbp:is_a_moduli_point_in |
gptkb:Siegel_modular_variety_of_genus_2
|
gptkbp:is_a_principally_polarized_abelian_surface |
true
|
gptkbp:is_a_projective_variety |
true
|
gptkbp:is_an_abelian_variety |
true
|
gptkbp:is_principally_polarized |
true
|
gptkbp:is_simple_for_generic_curve |
true
|
gptkbp:is_the_Jacobian_variety_of |
genus 2 curve
|
gptkbp:isomorphicTo |
Picard group of degree 0 divisors on genus 2 curve
|
gptkbp:parameterizes_degree_0_divisor_classes |
on genus 2 curve
|
gptkbp:used_in |
gptkb:algebraic_geometry
cryptography number theory arithmetic geometry moduli theory |
gptkbp:bfsParent |
gptkb:abelian_surface
gptkb:Abelian_surface |
gptkbp:bfsLayer |
7
|