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Picard group (for line bundles)
URI:
https://gptkb.org/entity/Picard_group_(for_line_bundles)
GPTKB entity
Statements (28)
Predicate
Object
gptkbp:instanceOf
gptkb:mathematical_concept
gptkbp:application
moduli spaces
algebraic curves
algebraic surfaces
study of divisors
classification of line bundles
gptkbp:category
gptkb:algebraic_geometry
gptkb:topology
group theory
gptkbp:containsElement
isomorphism class of a line bundle
gptkbp:defines
group of isomorphism classes of line bundles on a scheme or variety
gptkbp:field
gptkb:algebraic_geometry
gptkbp:generalizes
class group in number theory
gptkbp:hasInvariant
gptkb:algebraic_geometry
scheme
https://www.w3.org/2000/01/rdf-schema#label
Picard group (for line bundles)
gptkbp:isFinite
gptkb:geometry
gptkbp:namedAfter
gptkb:Émile_Picard
gptkbp:notation
Pic(X)
gptkbp:operator
tensor product of line bundles
gptkbp:relatedTo
gptkb:Brauer_group
gptkb:divisor_class_group
gptkb:Néron–Severi_group
cohomology group H^1(X, O_X^*)
gptkbp:trivialFor
gptkb:Euclidean_space
gptkbp:type
abelian group
gptkbp:bfsParent
gptkb:Grothendieck_group_of_vector_bundles
gptkbp:bfsLayer
7