Torelli theorem

GPTKB entity

Statements (16)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:concerns algebraic curves
Jacobians
gptkbp:field gptkb:algebraic_geometry
gptkbp:generalizes Torelli-type theorems for higher-dimensional varieties
https://www.w3.org/2000/01/rdf-schema#label Torelli theorem
gptkbp:namedAfter gptkb:Ruggiero_Torelli
gptkbp:provenBy gptkb:Ruggiero_Torelli
gptkbp:relatedTo gptkb:Abelian_varieties
gptkb:moduli_space_of_curves
period mapping
gptkbp:state the Jacobian of a smooth projective curve together with its polarization determines the curve up to isomorphism
gptkbp:yearProved 1913
gptkbp:bfsParent gptkb:Jacobian_variety
gptkb:moduli_space_theory
gptkbp:bfsLayer 6