abelian surfaces

GPTKB entity

Statements (22)
Predicate Object
gptkbp:instanceOf gptkb:algebraic_geometry
gptkbp:canBe simple
isogenous to product of elliptic curves
gptkbp:definedIn algebraically closed field
gptkbp:dimensions 2
gptkbp:heldBy gptkb:Hodge_structure
polarization
moduli space
projective variety
endomorphism ring
complex torus
group variety
torsion points
principally polarized abelian variety (in some cases)
Picard number between 1 and 4 (over complex numbers)
https://www.w3.org/2000/01/rdf-schema#label abelian surfaces
gptkbp:relatedTo gptkb:Kummer_surface
gptkb:Jacobians_of_genus_2_curves
gptkbp:studiedIn gptkb:algebraic_geometry
number theory
gptkbp:bfsParent gptkb:Enriques–Kodaira_classification
gptkbp:bfsLayer 6