About: Borel fixed-point theorem

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In mathematics, the Borel fixed-point theorem is a fixed-point theorem in algebraic geometry generalizing the Lie–Kolchin theorem. The result was proved by Armand Borel.

Attributes	Values
rdf:type	yago:WikicatTheoremsInAlgebraicGeometry yago:Abstraction100002137 yago:Act100030358 yago:Communication100033020 yago:Event100029378 yago:GroupAction101080366 yago:Message106598915 yago:Proposition106750804 yago:PsychologicalFeature100023100 yago:WikicatGroupActions yago:YagoPermanentlyLocatedEntity yago:Statement106722453 yago:Theorem106752293 yago:WikicatFixed-pointTheorems
rdfs:label	Borel fixed-point theorem (en) ボレルの不動点定理 (ja) Borels fixpunktsats (sv)
rdfs:comment	In mathematics, the Borel fixed-point theorem is a fixed-point theorem in algebraic geometry generalizing the Lie–Kolchin theorem. The result was proved by Armand Borel. (en) 数学において、ボレルの不動点定理（ボレルのふどうてんていり、英: Borel fixed-point theorem）とは、の一般化である代数幾何学における不動点定理である。Armand Borel によって証明された。 (ja) Inom matematiken är Borels fixpunktsats en som generaliserar . Satsen säger att om G är en sammanhängande lösbar som verkar regelbundet på en icke-tom komplett algebraisk varietet V över en k, då finns det en G-fixpunkt av V. Den bevisades av. (sv)
dcterms:subject	Fixed-point theorems Theorems in algebraic geometry Group actions (mathematics)
Wikipage page ID	12845371 (xsd:integer)
Wikipage revision ID	1033130552 (xsd:integer)
Link from a Wikipage to another Wikipage	Multiplicative group Algebraic group Algebraically closed field Lie–Kolchin theorem Mathematics Connected space Complete variety Composition series Additive group Algebraic geometry Algebraic variety Fixed-point theorem Rational point Group action (mathematics) Fixed-point theorems Theorems in algebraic geometry Group actions (mathematics) Solvable group Non-empty
sameAs	Borel fixed-point theorem Borel fixed-point theorem Borel fixed-point theorem Borel fixed-point theorem Borel fixed-point theorem Borel fixed-point theorem
dbp:wikiPageUsesTemplate	dbt:Springer dbt:Citation dbt:Cite_journal dbt:Reflist dbt:Short_description dbt:Harvs dbt:Abstract-algebra-stub
author	V.P. Platonov (en)
authorlink	Armand Borel (en)
first	Armand (en)
id	b/b017070 (en)
last	Borel (en)
title	Borel fixed-point theorem (en)
year	1956 (xsd:integer)
has abstract	In mathematics, the Borel fixed-point theorem is a fixed-point theorem in algebraic geometry generalizing the Lie–Kolchin theorem. The result was proved by Armand Borel. (en) 数学において、ボレルの不動点定理（ボレルのふどうてんていり、英: Borel fixed-point theorem）とは、の一般化である代数幾何学における不動点定理である。Armand Borel によって証明された。 (ja) Inom matematiken är Borels fixpunktsats en som generaliserar . Satsen säger att om G är en sammanhängande lösbar som verkar regelbundet på en icke-tom komplett algebraisk varietet V över en k, då finns det en G-fixpunkt av V. Den bevisades av. (sv)
gold:hypernym	Theorem
prov:wasDerivedFrom	wikipedia-en:Borel_fixed-point_theorem?oldid=1033130552&ns=0
page length (characters) of wiki page	2132 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Borel_fixed-point_theorem
is Link from a Wikipage to another Wikipage of	List of eponyms (A–K) Linear algebraic group Armand Borel Group-scheme action List of theorems Fixed-point theorems Borel fixed point theorem
is Wikipage redirect of	Borel fixed point theorem
is foaf:primaryTopic of	wikipedia-en:Borel_fixed-point_theorem

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