About: Quillen–Lichtenbaum conjecture

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In mathematics, the Quillen–Lichtenbaum conjecture is a conjecture relating étale cohomology to algebraic K-theory introduced by , p. 175), who was inspired by earlier conjectures of . and proved the Quillen–Lichtenbaum conjecture at the prime 2 for some number fields. Voevodsky, using some important results of Markus Rost, has proved the Bloch–Kato conjecture, which implies the Quillen–Lichtenbaum conjecture for all primes.

Attributes	Values
rdfs:label	Quillen–Lichtenbaum conjecture (en) Quillen–Lichtenbaums förmodan (sv)
rdfs:comment	In mathematics, the Quillen–Lichtenbaum conjecture is a conjecture relating étale cohomology to algebraic K-theory introduced by , p. 175), who was inspired by earlier conjectures of . and proved the Quillen–Lichtenbaum conjecture at the prime 2 for some number fields. Voevodsky, using some important results of Markus Rost, has proved the Bloch–Kato conjecture, which implies the Quillen–Lichtenbaum conjecture for all primes. (en) Inom matematiken är Quillen–Lichtenbaums förmodan en förmodan som relaterar till algebraisk K-teori introducerad av , p. 175), som inspirerades av tidigare förmodanden av ). ) and ) bevisade förmodan vid primtalet 2 för vissa talkroppar. Rost och Voevodsky har meddelat att de har bevisat , av vilket Quillen–Lichtenbaums förmodan följer för alla primtal. (sv)
dct:subject	Algebraic K-theory Conjectures that have been proved
Wikipage page ID	31619812 (xsd:integer)
Wikipage revision ID	984200396 (xsd:integer)
Link from a Wikipage to another Wikipage	Bernoulli number Algebraic K-theory Algebraic K-theory Voevodsky Mathematics Étale cohomology American Mathematical Society Journal of the American Mathematical Society Atiyah–Hirzebruch spectral sequence Conjectures that have been proved Bloch–Kato conjecture Markus Rost Vandiver conjecture Springer-Verlag
Link from a Wikipage to an external page	http://mathunion.org/ICM/ICM1974.1/ http://www.math.uiuc.edu/K-theory/0208/QL2.pdf http://www.math.uiuc.edu/K-theory/0220 http://www.math.uiuc.edu/K-theory/0691/ https://books.google.com/books%3Fid=v2CuklFFV5IC&lpg=PA232
sameAs	Quillen–Lichtenbaum conjecture Quillen–Lichtenbaum conjecture Quillen–Lichtenbaum conjecture Quillen–Lichtenbaum conjecture
dbp:wikiPageUsesTemplate	dbt:Citation dbt:Harv dbt:Harvtxt
has abstract	In mathematics, the Quillen–Lichtenbaum conjecture is a conjecture relating étale cohomology to algebraic K-theory introduced by , p. 175), who was inspired by earlier conjectures of . and proved the Quillen–Lichtenbaum conjecture at the prime 2 for some number fields. Voevodsky, using some important results of Markus Rost, has proved the Bloch–Kato conjecture, which implies the Quillen–Lichtenbaum conjecture for all primes. (en) Inom matematiken är Quillen–Lichtenbaums förmodan en förmodan som relaterar till algebraisk K-teori introducerad av , p. 175), som inspirerades av tidigare förmodanden av ). ) and ) bevisade förmodan vid primtalet 2 för vissa talkroppar. Rost och Voevodsky har meddelat att de har bevisat , av vilket Quillen–Lichtenbaums förmodan följer för alla primtal. (sv)
gold:hypernym	Conjecture
prov:wasDerivedFrom	wikipedia-en:Quillen–Lichtenbaum_conjecture?oldid=984200396&ns=0
page length (characters) of wiki page	4692 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Quillen–Lichtenbaum_conjecture
is rdfs:seeAlso of	Norm residue isomorphism theorem
is Link from a Wikipage to another Wikipage of	List of conjectures Algebraic K-theory Robert Wayne Thomason Quillen-Lichtenbaum conjecture Kummer–Vandiver conjecture Atiyah–Hirzebruch spectral sequence List of unsolved problems in mathematics Norm residue isomorphism theorem Lichtenbaum conjecture
is Wikipage redirect of	Quillen-Lichtenbaum conjecture Lichtenbaum conjecture
is foaf:primaryTopic of	wikipedia-en:Quillen–Lichtenbaum_conjecture

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