Email this article The Strong Suslin Reciprocity Law and Its Applications to Scissor Congruence Theory in Hyperbolic Space
- Authors: Rudenko D.G.1
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Affiliations:
- National Research University Higher School of Economics
- Issue: Vol 50, No 1 (2016)
- Pages: 66-70
- Section: Brief Communications
- URL: https://journals.rcsi.science/0016-2663/article/view/234167
- DOI: https://doi.org/10.1007/s10688-016-0130-7
- ID: 234167
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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.
About the authors
D. G. Rudenko
National Research University Higher School of Economics
Author for correspondence.
Email: rudenkodaniil@gmail.com
Russian Federation, Moscow
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