The strong Suslin reciprocity law and its applications to scissor congruence theory in hyperbolic space. (English. Russian original) Zbl 1386.19008
Funct. Anal. Appl. 50, No. 1, 66-70 (2016); translation from Funkts. Anal. Prilozh. 50, No. 1, 79-84 (2016).
In this paper, for a given field, the author discusses its cohomology with rational coefficients by its Bloch group and then gives the main theorem on homotopy invariance, i.e., a short exact sequence for the cohomology. Here, the cohomology is expected to coincide with the corresponding motivic cohomology by Goncharov’s conjectures.
Reviewer: Feng-Wen An (Hubei)
MSC:
| 19E15 | Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) |
| 19D45 | Higher symbols, Milnor \(K\)-theory |
References:
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| [4] | A. B. Goncharov, in: Proc. Sympos. Pure Math., vol. 55, part 2, Amer. Math. Soc., Providence, RI, 1994, 43-96. · Zbl 0842.11043 |
| [5] | A. Suslin and V. Voevodsky, in: The Arithmetic and Geometry of Algebraic Cycles (Banff, AB, 1998), NATO Sci. Ser. C Math. Phys. Sci., Vol. 548, Kluwer Acad. Publ., Dordrecht, 2000, 117-189. · Zbl 1005.19001 · doi:10.1007/978-94-011-4098-0_5 |
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