Enviar artigo por via de e-mail The Strong Suslin Reciprocity Law and Its Applications to Scissor Congruence Theory in Hyperbolic Space
- Autores: Rudenko D.G.1
-
Afiliações:
- National Research University Higher School of Economics
- Edição: Volume 50, Nº 1 (2016)
- Páginas: 66-70
- Seção: Brief Communications
- URL: https://journals.rcsi.science/0016-2663/article/view/234167
- DOI: https://doi.org/10.1007/s10688-016-0130-7
- ID: 234167
Citar
Acesso aberto
Acesso está concedido
Somente assinantes
Resumo
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.
Sobre autores
D. Rudenko
National Research University Higher School of Economics
Autor responsável pela correspondência
Email: rudenkodaniil@gmail.com
Rússia, Moscow
Arquivos suplementares
