About: Local field

An Entity of Type: Thing, from Named Graph: http://dbpedia.org, within Data Space: dbpedia.org

Non-discrete locally compact topological field

Property	Value
dbo:description	termine (it) Begriff aus der Zahlentheorie (de) loke kompakta topologia komuta korpo, kies topologio ne estas diskreta (eo) non-discrete locally compact topological field (en) un corps commutatif topologique localement compact pour une topologie non discrète (fr)
dbo:wikiPageExternalLink	https://www.jmilne.org/math/CourseNotes/ant.html%7C
dbo:wikiPageWikiLink	dbr:Archimedean_property dbr:Hilbert_symbol dbr:Prime_ideal dbr:Local_ring dbr:Unit_ball dbr:Unit_sphere dbr:Kurt_Hensel dbr:Prime_number dbr:Discrete_valuation_ring dbr:Galois_extension dbc:Algebraic_number_theory dbr:Number_theory dbr:Exponentiation dbr:Cardinality dbr:Group_(mathematics) dbr:Ring_of_integers dbr:Haar_measure dbr:Hensel's_lemma dbr:Mathematics dbr:P-adic_number dbr:Algebraic_number_field dbr:Characteristic_(algebra) dbr:Discrete_space dbr:Academic_Press dbr:Field_(mathematics) dbr:Topological_field dbr:Local_class_field_theory dbr:Principal_ideal dbr:American_Mathematical_Society dbr:Global_field dbr:Ramification_group dbr:Finite_field dbr:Surjective_function dbr:Complete_metric_space dbr:Perfect_field dbr:Discrete_valuation dbr:P-adic_Hodge_theory dbc:Field_(mathematics) dbr:Quotient_group dbr:Compact_space dbr:Formal_power_series dbr:Constant_term dbr:Valuation_(algebra) dbr:Natural_number dbr:Higher_local_field dbr:Filtration_(mathematics) dbr:Springer-Verlag dbr:Isomorphic dbr:Complex_numbers dbr:Hodge-Tate_theory dbr:Finite_extension dbr:Formal_Laurent_series dbr:Neighbourhood_basis dbr:Galois_groups dbr:Real_numbers dbr:Uniformizer dbr:Complete_valued_field dbr:Local_Langlands_correspondence dbr:Locally_compact dbr:Non-negative_integer dbr:Residue_field_of_a_valuation dbr:</nowiki>''T''<nowiki>
dbp:id	p/l060130 (en)
dbp:title	Local field (en)
dbp:wikiPageUsesTemplate	dbt:Authority_control dbt:Main dbt:Reflist dbt:Sfn dbt:Citation dbt:Neukirch_ANT dbt:Refend dbt:Refbegin dbt:Springer dbt:Short_description
dct:subject	dbc:Algebraic_number_theory dbc:Field_(mathematics)
gold:hypernym	dbr:Type
rdfs:label	Local field (en) Lokaler Körper (de) Corps local (fr) 局所体 (ja) 국소체 (ko) Corpo local (pt) Локальне поле (uk) Локальное поле (ru) 局部域 (zh)
owl:sameAs	freebase:Local field wikidata:Local field dbpedia-de:Local field dbpedia-fr:Local field dbpedia-zh:Local field dbpedia-ja:Local field dbpedia-pt:Local field dbpedia-he:Local field dbpedia-fa:Local field dbpedia-ru:Local field dbpedia-ko:Local field dbpedia-uk:Local field dbpedia-global:Local field
prov:wasDerivedFrom	wikipedia-en:Local_field?oldid=1269640060&ns=0
foaf:isPrimaryTopicOf	wikipedia-en:Local_field
is dbo:wikiPageDisambiguates of	dbr:Local
is dbo:wikiPageRedirects of	dbr:Group_of_principal_units dbr:Principal_unit dbr:Higher_unit_group dbr:Local_fields dbr:Local_number_field dbr:Non-Archimedean_local_field dbr:Non-archimedean_local_field dbr:Normalized_valuation
is dbo:wikiPageWikiLink of	dbr:Hilbert_symbol dbr:Representation_theory_of_finite_groups dbr:Algebraic_group dbr:Hasse_principle dbr:Norm_group dbr:Nagayoshi_Iwahori dbr:Distribution_(number_theory) dbr:Hasse_invariant_of_an_algebra dbr:Linked_field dbr:Metaplectic_group dbr:Hasse–Minkowski_theorem dbr:Galois_group dbr:Guy_Henniart dbr:Order_(ring_theory) dbr:Complex_number dbr:Christopher_Deninger dbr:Superrigidity dbr:U-invariant dbr:Abelian_extension dbr:Abelian_variety dbr:Galois_theory dbr:Group_(mathematics) dbr:Newton_polygon dbr:Ring_(mathematics) dbr:Ulrich_Stuhler dbr:Langlands_program dbr:Kronecker–Weber_theorem dbr:Witt_group dbr:Formal_group_law dbr:KANT_(software) dbr:Steinberg_representation dbr:Steinberg_symbol dbr:Néron_differential dbr:Anabelian_geometry dbr:Brauer_group dbr:Symplectic_group dbr:Ivan_Fesenko dbr:Bernstein–Zelevinsky_classification dbr:Whittaker_model dbr:Duality_(mathematics) dbr:Algebraic_K-theory dbr:Explicit_reciprocity_law dbr:Iwahori_subgroup dbr:Algebraic_number_field dbr:General_topology dbr:(B,_N)_pair dbr:Magnetotactic_bacteria dbr:Albert–Brauer–Hasse–Noether_theorem dbr:Principal_series_representation dbr:Local dbr:Topological_space dbr:Quaternion_algebra dbr:Different_ideal dbr:Abhyankar's_lemma dbr:Theta_correspondence dbr:Thin_set_(Serre) dbr:Field_(mathematics) dbr:Local_class_field_theory dbr:Discrete_geometry dbr:Global_field dbr:Glossary_of_areas_of_mathematics dbr:Michael_Harris_(mathematician) dbr:Ramification_group dbr:DP_code dbr:Hasse_invariant_of_a_quadratic_form dbr:Ian_G._Macdonald dbr:Iwahori–Hecke_algebra dbr:Glossary_of_arithmetic_and_diophantine_geometry dbr:Whittaker_function dbr:Approximation_in_algebraic_groups dbr:Local_Euler_characteristic_formula dbr:Local_trace_formula dbr:Locally_compact_field dbr:Locally_profinite_group dbr:Satake_isomorphism dbr:Schwartz–Bruhat_function dbr:P-adic_Hodge_theory dbr:Frobenius_endomorphism dbr:Admissible_representation dbr:Finite_extensions_of_local_fields dbr:Kirillov_model dbr:Kneser–Tits_conjecture dbr:L-packet dbr:Deformation_ring dbr:Deligne–Lusztig_theory dbr:Ratner's_theorems dbr:List_of_abstract_algebra_topics dbr:List_of_algebraic_number_theory_topics dbr:Fundamental_lemma_(Langlands_program) dbr:Grigory_Margulis dbr:Stufe_(algebra) dbr:János_Kollár dbr:Baum–Connes_conjecture dbr:Building_(mathematics) dbr:Bass–Serre_theory dbr:Néron–Ogg–Shafarevich_criterion dbr:Jacquet_module dbr:Jacquet–Langlands_correspondence dbr:Higher_local_field dbr:Manin_obstruction dbr:Power_residue_symbol dbr:Tate_curve dbr:Tate_duality dbr:Tate_pairing dbr:Class_field_theory dbr:Glossary_of_field_theory dbr:Complex_multiplication dbr:Conductor_(class_field_theory) dbr:Conductor_of_an_abelian_variety dbr:Identity_component dbr:Lubin–Tate_formal_group_law dbr:Langlands–Deligne_local_constant dbr:Langlands–Shahidi_method dbr:Lattice_(discrete_subgroup) dbr:Arthur's_conjectures dbr:Artin_conductor dbr:B-admissible_representation dbr:Gelfand_pair dbr:Automorphic_Forms_on_GL(2) dbr:Galois_module dbr:Hecke_algebra_of_a_locally_compact_group dbr:Geometric_class_field_theory dbr:Semistable_abelian_variety dbr:List_of_inventions_and_discoveries_by_women dbr:Kazhdan's_property_(T) dbr:Θ10 dbr:Conductor_of_an_elliptic_curve dbr:Weil_group dbr:Weil–Châtelet_group dbr:Perfectoid_space dbr:Séminaire_Nicolas_Bourbaki_(1950–1959) dbr:Hyperspecial_subgroup dbr:Serre's_conjecture_II_(algebra) dbr:Zenon_Ivanovich_Borevich dbr:Group_of_principal_units dbr:Principal_unit dbr:Higher_unit_group dbr:Local_fields dbr:Local_number_field dbr:Non-Archimedean_local_field dbr:Non-archimedean_local_field dbr:Normalized_valuation
is foaf:primaryTopic of	wikipedia-en:Local_field