Geodesic
The Strong Suslin Reciprocity Law and Its Applications to Scissor Congruence Theory in Hyperbolic Space
Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 1, pp. 79-84

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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
Mots-clés : polylogarithms. 
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     author = {D. Rudenko},
     title = {The {Strong} {Suslin} {Reciprocity} {Law} and {Its} {Applications} to {Scissor} {Congruence} {Theory} in {Hyperbolic} {Space}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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D. Rudenko. The Strong Suslin Reciprocity Law and Its Applications to Scissor Congruence Theory in Hyperbolic Space. Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 1, pp. 79-84. http://geodesic.mathdoc.fr/item/FAA_2016_50_1_a7/