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- Holomorphic_vector_bundle abstract "In mathematics, a holomorphic vector bundle is a complex vector bundle over a complex manifold X such that the total space E is a complex manifold and the projection map π : E → X is holomorphic. Fundamental examples are the holomorphic tangent bundle of a complex manifold, and its dual, the holomorphic cotangent bundle. A holomorphic line bundle is a rank one holomorphic vector bundle.By Serre's GAGA, the category of holomorphic vector bundles on a smooth complex projective variety X (viewed as a complex manifold) is equivalent to the category of algebraic vector bundles (i.e., locally free sheaves of finite rank) on X.".
- Holomorphic_vector_bundle wikiPageExternalLink splitting-principle-for-holomorphic-vector-bundles.
- Holomorphic_vector_bundle wikiPageID "4794668".
- Holomorphic_vector_bundle wikiPageLength "7719".
- Holomorphic_vector_bundle wikiPageOutDegree "38".
- Holomorphic_vector_bundle wikiPageRevisionID "667134728".
- Holomorphic_vector_bundle wikiPageWikiLink Algebraic_geometry_and_analytic_geometry.
- Holomorphic_vector_bundle wikiPageWikiLink Algebraic_vector_bundle.
- Holomorphic_vector_bundle wikiPageWikiLink Atlas_(topology).
- Holomorphic_vector_bundle wikiPageWikiLink Baer_sum.
- Holomorphic_vector_bundle wikiPageWikiLink Biholomorphic_map.
- Holomorphic_vector_bundle wikiPageWikiLink Biholomorphism.
- Holomorphic_vector_bundle wikiPageWikiLink Birkhoff–Grothendieck_theorem.
- Holomorphic_vector_bundle wikiPageWikiLink Category:Complex_manifolds.
- Holomorphic_vector_bundle wikiPageWikiLink Category:Vector_bundles.
- Holomorphic_vector_bundle wikiPageWikiLink Coherent_sheaf.
- Holomorphic_vector_bundle wikiPageWikiLink Complex_differential_form.
- Holomorphic_vector_bundle wikiPageWikiLink Complex_manifold.
- Holomorphic_vector_bundle wikiPageWikiLink Complex_vector_bundle.
- Holomorphic_vector_bundle wikiPageWikiLink Connection_(vector_bundle).
- Holomorphic_vector_bundle wikiPageWikiLink Connection_form.
- Holomorphic_vector_bundle wikiPageWikiLink Curvature_form.
- Holomorphic_vector_bundle wikiPageWikiLink Dolbeault_operator.
- Holomorphic_vector_bundle wikiPageWikiLink Exact_sequence.
- Holomorphic_vector_bundle wikiPageWikiLink Exact_sequences.
- Holomorphic_vector_bundle wikiPageWikiLink Ext_functor.
- Holomorphic_vector_bundle wikiPageWikiLink Fine_sheaf.
- Holomorphic_vector_bundle wikiPageWikiLink GAGA.
- Holomorphic_vector_bundle wikiPageWikiLink Hermitian_manifold.
- Holomorphic_vector_bundle wikiPageWikiLink Hermitian_metric.
- Holomorphic_vector_bundle wikiPageWikiLink Holomorphic_function.
- Holomorphic_vector_bundle wikiPageWikiLink Injective_sheaf.
- Holomorphic_vector_bundle wikiPageWikiLink Inner_product.
- Holomorphic_vector_bundle wikiPageWikiLink Inner_product_space.
- Holomorphic_vector_bundle wikiPageWikiLink John_Wiley_&_Sons.
- Holomorphic_vector_bundle wikiPageWikiLink Kodaira_vanishing_theorem.
- Holomorphic_vector_bundle wikiPageWikiLink Kodairas_vanishing_theorem.
- Holomorphic_vector_bundle wikiPageWikiLink Locally_free_sheaf.
- Holomorphic_vector_bundle wikiPageWikiLink Mathematics.
- Holomorphic_vector_bundle wikiPageWikiLink Nakanos_vanishing_theorem.
- Holomorphic_vector_bundle wikiPageWikiLink Parallel_transport.
- Holomorphic_vector_bundle wikiPageWikiLink Partition_of_unity.
- Holomorphic_vector_bundle wikiPageWikiLink Projection_(mathematics).
- Holomorphic_vector_bundle wikiPageWikiLink Projection_map.
- Holomorphic_vector_bundle wikiPageWikiLink Projective_variety.
- Holomorphic_vector_bundle wikiPageWikiLink Quillen_metric.
- Holomorphic_vector_bundle wikiPageWikiLink Ringed_space.
- Holomorphic_vector_bundle wikiPageWikiLink Serre_duality.
- Holomorphic_vector_bundle wikiPageWikiLink Sheaf_(mathematics).
- Holomorphic_vector_bundle wikiPageWikiLink Sheaf_cohomology.
- Holomorphic_vector_bundle wikiPageWikiLink Sheaf_extension.
- Holomorphic_vector_bundle wikiPageWikiLink Sheaf_of_modules.
- Holomorphic_vector_bundle wikiPageWikiLink Smooth_scheme.
- Holomorphic_vector_bundle wikiPageWikiLink Smooth_variety.
- Holomorphic_vector_bundle wikiPageWikiLink Structure_sheaf.
- Holomorphic_vector_bundle wikiPageWikiLink Tensor_product.
- Holomorphic_vector_bundle wikiPageWikiLink Transition_map.
- Holomorphic_vector_bundle wikiPageWikiLink Vanishing_theorem.
- Holomorphic_vector_bundle wikiPageWikiLink Vector-valued_differential_form.
- Holomorphic_vector_bundle wikiPageWikiLink Vector_valued_form.
- Holomorphic_vector_bundle wikiPageWikiLinkText "Holomorphic vector bundle".
- Holomorphic_vector_bundle wikiPageWikiLinkText "Holomorphic vector bundle#Hermitian metrics on a holomorphic vector bundle".
- Holomorphic_vector_bundle wikiPageWikiLinkText "holomorphic (complex-)vector bundle".
- Holomorphic_vector_bundle wikiPageWikiLinkText "holomorphic vector bundle".
- Holomorphic_vector_bundle wikiPageWikiLinkText "holomorphic vector bundle#Hermitian metrics on a holomorphic vector bundle".
- Holomorphic_vector_bundle wikiPageWikiLinkText "holomorphic vector field".
- Holomorphic_vector_bundle wikiPageWikiLinkText "holomorphic".
- Holomorphic_vector_bundle hasPhotoCollection Holomorphic_vector_bundle.
- Holomorphic_vector_bundle id "v/v096400".
- Holomorphic_vector_bundle title "Vector bundle, analytic".
- Holomorphic_vector_bundle wikiPageUsesTemplate Template:Citation.
- Holomorphic_vector_bundle wikiPageUsesTemplate Template:Math.
- Holomorphic_vector_bundle wikiPageUsesTemplate Template:Mvar.
- Holomorphic_vector_bundle wikiPageUsesTemplate Template:Reflist.
- Holomorphic_vector_bundle wikiPageUsesTemplate Template:See_also.
- Holomorphic_vector_bundle wikiPageUsesTemplate Template:Springer.
- Holomorphic_vector_bundle subject Category:Complex_manifolds.
- Holomorphic_vector_bundle subject Category:Vector_bundles.
- Holomorphic_vector_bundle hypernym Bundle.
- Holomorphic_vector_bundle type AnatomicalStructure.
- Holomorphic_vector_bundle type Bundle.
- Holomorphic_vector_bundle type Variable.
- Holomorphic_vector_bundle type Thing.
- Holomorphic_vector_bundle comment "In mathematics, a holomorphic vector bundle is a complex vector bundle over a complex manifold X such that the total space E is a complex manifold and the projection map π : E → X is holomorphic. Fundamental examples are the holomorphic tangent bundle of a complex manifold, and its dual, the holomorphic cotangent bundle.".
- Holomorphic_vector_bundle label "Holomorphic vector bundle".
- Holomorphic_vector_bundle seeAlso Hermitian_connection.
- Holomorphic_vector_bundle sameAs 正則ベクトルバンドル.
- Holomorphic_vector_bundle sameAs 해석적_벡터다발.
- Holomorphic_vector_bundle sameAs Fibrado_vetorial_holomórfico.
- Holomorphic_vector_bundle sameAs m.025t7fr.
- Holomorphic_vector_bundle sameAs Q9289328.
- Holomorphic_vector_bundle sameAs Q9289328.
- Holomorphic_vector_bundle sameAs 全纯向量丛.
- Holomorphic_vector_bundle wasDerivedFrom Holomorphic_vector_bundle?oldid=667134728.
- Holomorphic_vector_bundle isPrimaryTopicOf Holomorphic_vector_bundle.