About: Ample line bundle

An Entity of Type: Thing, from Named Graph: http://dbpedia.org, within Data Space: dbpedia-live.demo.openlinksw.com

Line bundle on a variety whose positive tensor power's sections can be used to embed the variety into a projective space

Property	Value
dbo:description	正のべきが、基礎となる多様体から射影空間への埋め込みを行う設定に充分な大域的切断がある直線束 (ja) line bundle on a variety whose positive tensor power's sections can be used to embed the variety into a projective space (en) rekta fasko, unu el kies pozitiv-eksponenta tensoraj potencoj havas sufiĉe da sekcioj por plonĝi la variaĵon (sur kiu la fasko estas) en projekcian spacon (eo)
dbo:wikiPageExternalLink	http://stacks.math.columbia.edu/ http://www.numdam.org/item/PMIHES_1961__8__5_0 http://stacks.math.columbia.edu/tag/01AM http://stacks.math.columbia.edu/tag/01PS http://stacks.math.columbia.edu/tag/01QE http://stacks.math.columbia.edu/tag/01VU http://stacks.math.columbia.edu/tag/02NP http://stacks.math.columbia.edu/tag/02O6 http://stacks.math.columbia.edu/tag/0D38 https://stacks.math.columbia.edu/tag/01VG
dbo:wikiPageWikiLink	dbr:Codimension dbr:Global_section dbr:Morphism_of_algebraic_varieties dbr:Algebraically_closed_field dbr:Chern_class dbr:Publications_Mathématiques_de_l'IHÉS dbr:Pullback_bundle dbr:Complex_number dbr:Real_number dbr:Vector_space dbr:Henri_Cartan dbc:Geometry_of_divisors dbr:Closure_(topology) dbr:Riemann–Roch_theorem dbr:Robin_Hartshorne dbr:Algebraic_geometry_of_projective_spaces dbr:Projective_space dbr:Smooth_scheme dbr:Algebraic_curve dbr:Elliptic_curve dbr:Alexander_Grothendieck dbr:David_Mumford dbr:Stein_manifold dbr:Blowing_up dbr:Affine_scheme dbr:Scheme_(mathematics) dbr:Kodaira_vanishing_theorem dbr:Jean-Pierre_Serre dbr:Invertible_sheaf dbr:Proper_morphism dbr:Annals_of_Mathematics dbr:Closed_immersion dbr:Holomorphic_vector_bundle dbr:Divisorial_scheme dbc:Algebraic_geometry dbr:Complex_geometry dbr:Field_(mathematics) dbc:Vector_bundles dbr:Hyperplane dbr:Vector_bundle dbr:Algebraic_vector_bundle dbr:Cartier_divisor dbr:Coherent_sheaf dbr:Divisor_(algebraic_geometry) dbr:Birational_geometry dbr:Boris_Moishezon dbr:Finite_morphism dbr:Irreducible_component dbr:Homogeneous_polynomial dbr:Canonical_bundle dbr:Fano_variety dbr:Hyperelliptic_curve dbr:Branched_covering dbr:Genus_(mathematics) dbr:Algebraic_geometry dbr:Line_bundle dbr:Kodaira_embedding_theorem dbr:Nef_line_bundle dbr:Zariski_topology dbr:Commutative_ring dbr:Sectional_curvature dbr:Degree_of_an_algebraic_variety dbr:Rational_normal_curve dbr:Linear_combination dbr:Noetherian_ring dbr:Rational_point dbr:C._S._Seshadri dbr:Algebraic_Geometry_(book) dbr:Algebraic_space dbr:Néron–Severi_group dbr:Projective_scheme dbr:Projective_variety dbr:American_Journal_of_Mathematics dbr:Cone_of_curves dbr:Coherent_sheaf_cohomology dbr:Lefschetz_hyperplane_theorem dbr:Springer-Verlag dbr:Section_(fiber_bundle) dbr:Faisceaux_algébriques_cohérents dbr:Sheaf_of_modules dbr:Matsusaka's_big_theorem dbr:Quasi-separated_morphism dbr:Linear_systems_of_divisors dbr:Grothendieck dbr:Holomorphic_Euler_characteristic dbr:Adjunction_map dbr:Ample_invertible_sheaf dbr:Tensor_product_of_line_bundles dbr:Birational dbr:Rational_map dbr:Dual_vector_space dbr:Cartan's_theorem_A dbr:Quasi-affine_morphism dbr:Quasi-coherent_sheaf dbr:Quasi-compact dbr:Scheme-theoretic_fiber dbr:Self-intersection_number
dbp:wikiPageUsesTemplate	dbt:Cite_web dbt:Main dbt:Reflist dbt:Cite_journal dbt:Hatnote dbt:Sfn dbt:Citation dbt:Refend dbt:Refbegin dbt:CS1_config dbt:Harvid dbt:Harvtxt dbt:See dbt:Short_description dbt:Use_shortened_footnotes
dct:subject	dbc:Geometry_of_divisors dbc:Algebraic_geometry dbc:Vector_bundles
rdfs:label	Ample line bundle (en) 豊富な直線束 (ja) 풍부한 가역층 (ko)
owl:sameAs	freebase:Ample line bundle yago-res:Ample line bundle wikidata:Ample line bundle dbpedia-ja:Ample line bundle dbpedia-ko:Ample line bundle dbpedia-global:Ample line bundle dbr:Ample line bundle
prov:wasDerivedFrom	wikipedia-en:Ample_line_bundle?oldid=1292334728&ns=0
foaf:isPrimaryTopicOf	wikipedia-en:Ample_line_bundle
is dbo:wikiPageRedirects of	dbr:Ample dbr:Ample_cone dbr:Ample_divisor dbr:Ample_invertible_sheaf dbr:Ample_sheaf dbr:Ample_vector_bundle dbr:Basepoint-free dbr:Nakai's_criterion dbr:Nakai-Moishezon_criterion dbr:Nakai_criterion dbr:Nakai_criterion_for_ampleness dbr:Nakai–Moishezon_criterion dbr:Very_ample dbr:Very_ample_divisor dbr:Very_ample_line_bundle
is dbo:wikiPageWikiLink of	dbr:Kähler_identities dbr:K3_surface dbr:Algebraic_surface dbr:Tautological_bundle dbr:Cohen–Macaulay_ring dbr:Fourier–Mukai_transform dbr:Lucien_Szpiro dbr:Kähler_manifold dbr:Projective_space dbr:Fano_fibration dbr:Frobenius_splitting dbr:Linear_system_of_divisors dbr:K-stability dbr:Glossary_of_algebraic_geometry dbr:Kodaira_vanishing_theorem dbr:Jean-Pierre_Demailly dbr:Bo_Berndtsson dbr:Euler_sequence dbr:Ehrhart_polynomial dbr:Christina_Birkenhake dbr:Divisorial_scheme dbr:Complex_geometry dbr:Coherent_sheaf dbr:Birational_geometry dbr:Nagata–Biran_conjecture dbr:Canonical_bundle dbr:Fano_variety dbr:Grothendieck–Riemann–Roch_theorem dbr:Line_bundle dbr:Quillen_metric dbr:Hirzebruch–Riemann–Roch_theorem dbr:Kodaira_dimension dbr:Kähler–Einstein_metric dbr:Minimal_model_program dbr:Nef_line_bundle dbr:List_of_algebraic_geometry_topics dbr:Positive_form dbr:Projective_variety dbr:Height_function dbr:Cone_of_curves dbr:Iitaka_dimension dbr:Shou-Wu_Zhang dbr:Coherent_sheaf_cohomology dbr:Kawamata–Viehweg_vanishing_theorem dbr:Seshadri_constant dbr:Frankel_conjecture dbr:Sheaf_of_modules dbr:Quot_scheme dbr:Matsusaka's_big_theorem dbr:Teruhisa_Matsusaka dbr:Ample dbr:Ample_cone dbr:Ample_divisor dbr:Ample_invertible_sheaf dbr:Ample_sheaf dbr:Ample_vector_bundle dbr:Basepoint-free dbr:Nakai's_criterion dbr:Nakai-Moishezon_criterion dbr:Nakai_criterion dbr:Nakai_criterion_for_ampleness dbr:Nakai–Moishezon_criterion dbr:Very_ample dbr:Very_ample_divisor dbr:Very_ample_line_bundle
is foaf:primaryTopic of	wikipedia-en:Ample_line_bundle