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Funktsional'nyi Analiz i ego Prilozheniya, 2016, Volume 50, Issue 1, Pages 79–84
DOI: https://doi.org/10.4213/faa3229 (Mi faa3229) 		 
Brief communications

The Strong Suslin Reciprocity Law and Its Applications to Scissor Congruence Theory in Hyperbolic Space

D. Rudenko

National Research University "Higher School of Economics" (HSE), Moscow
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DOI: https://doi.org/10.4213/faa3229
Abstract: We prove the strong Suslin reciprocity law conjectured by A. B. Goncharov and describe its corollaries for the theory of scissor congruence of polyhedra in hyperbolic space. The proof is based on the study of Goncharov's conjectural description of certain rational motivic cohomology groups of a field. Our main result is a homotopy invariance theorem for these groups.
Keywords: scissor congruence, reciprocity laws, motivic cohomology, polylogarithms.
Received: 31.07.2015
English version:
Functional Analysis and Its Applications, 2016, Volume 50, Issue 1, Pages 66–70
DOI: https://doi.org/10.1007/s10688-016-0130-7
Bibliographic databases:
Document Type: Article
UDC: 512.667.3
Language: Russian
Citation: D. Rudenko, “The Strong Suslin Reciprocity Law and Its Applications to Scissor Congruence Theory in Hyperbolic Space”, Funktsional. Anal. i Prilozhen., 50:1 (2016), 79–84; Funct. Anal. Appl., 50:1 (2016), 66–70
Citation in format AMSBIB
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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