Vector bundles (in algebraic geometry)

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:mathematical_concept
gptkbp:class	gptkb:Moduli_space_of_vector_bundles
gptkbp:definedIn	gptkb:algebraic_geometry
gptkbp:field	gptkb:Algebraic_topology gptkb:Algebraic_geometry
gptkbp:generalizes	Cotangent bundle Line bundle Tangent bundle
gptkbp:hasApplication	gptkb:Number_theory gptkb:Algebraic_curves gptkb:string_theory gptkb:Mirror_symmetry gptkb:Representation_theory gptkb:Donaldson_theory Mathematical physics Complex geometry Algebraic surfaces
gptkbp:hasInvariant	gptkb:Chern_class gptkb:Determinant_bundle Degree Rank
gptkbp:hasProperty	gptkb:Locally_free_sheaf
gptkbp:hasSection	Global section Local section
gptkbp:hasSpecialCase	Trivial bundle Indecomposable bundle Semistable bundle Simple bundle Stable bundle
https://www.w3.org/2000/01/rdf-schema#label	Vector bundles (in algebraic geometry)
gptkbp:operator	gptkb:Tensor_product Direct sum Dual bundle Pullback Pushforward
gptkbp:relatedTo	gptkb:Principal_bundle Sheaf Projective bundle Vector bundle (differential geometry) Vector bundle (topology)
gptkbp:studiedBy	gptkb:Jean-Pierre_Serre gptkb:Alexander_Grothendieck
gptkbp:usedIn	gptkb:Algebraic_K-theory gptkb:gauge_theory gptkb:Hodge_theory gptkb:Intersection_theory gptkb:Moduli_theory
gptkbp:bfsParent	gptkb:Projective_modules
gptkbp:bfsLayer	6