The strong Suslin reciprocity law and its applications to scissor congruence theory in hyperbolic space (Q302471)

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scientific article; zbMATH DE number 6602127
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The strong Suslin reciprocity law and its applications to scissor congruence theory in hyperbolic space
scientific article; zbMATH DE number 6602127

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    The strong Suslin reciprocity law and its applications to scissor congruence theory in hyperbolic space (English)
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    8 July 2016
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    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.
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    homotopy invariance
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    motivic cohomology
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    Goncharov's conjectures
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