Milnor K-theory of local rings

URN to cite this document:: urn:nbn:de:bvb:355-opus-9912
DOI to cite this document:: 10.5283/epub.10749

Kerz, Moritz

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Date of publication of this fulltext: 18 Jun 2008 16:25

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Item type:	Thesis of the University of Regensburg (PhD)
Open Access Type:	Primary Publication
Date:	17 June 2008
Referee:	Uwe (Prof. Dr.) Jannsen
Date of exam:	5 June 2008
Institutions:	Mathematics > Prof. Dr. Uwe Jannsen
Keywords:	K-Theorie , Algebraische Geometrie , , K-theory , algebraic geometry
Dewey Decimal Classification:	500 Science > 510 Mathematics
Status:	Published
Refereed:	Yes, this version has been refereed
Created at the University of Regensburg:	Yes
Item ID:	10749

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Abstract (English)

We prove a conjecture of Beilinson and Lichtenbaum which predicts the existence of an isomorphism between Milnor K-theory and motivic cohomology of local rings.

Translation of the abstract (German)

Wir beweisen eine Vermutung von Beilinson und Lichtenbaum, die eine Isomorphie zwischen Milnor K-Gruppen und motivischen Cohomologiegruppen von lokalen Ringen voraussagt.

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