Picard scheme

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appearsIn theory of moduli spaces
gptkbp:canBe non-reduced
non-separated
gptkbp:describes moduli of line bundles
gptkbp:field gptkb:algebraic_geometry
gptkbp:generalizes gptkb:Picard_variety
gptkbp:heldBy a fine moduli space in some cases
a scheme representing the Picard functor
an algebraic space in general
https://www.w3.org/2000/01/rdf-schema#label Picard scheme
gptkbp:introduced gptkb:Alexandre_Grothendieck
gptkbp:namedAfter gptkb:Émile_Picard
gptkbp:parameter isomorphism classes of line bundles on a scheme
gptkbp:relatedTo gptkb:Picard_group
gptkbp:usedIn study of families of algebraic varieties
gptkbp:bfsParent gptkb:moduli_space_theory
gptkbp:bfsLayer 6