On Goncharov's conjecture in next to Milnor degree

2024/04/09 by Vasily Bolbachan, Bolbachan, Vasily
Computer Science · Mathematics · #Digital Image Processing Techniques #Computability, Logic, AI Algorithms #Mathematical Approximation and Integration

paper · pdf · doi:10.48550/arxiv.2404.06271

Abstract

Let \mathbb K be a field of characteristic zero. We prove that its motivic cohomology in degree m-1 and weight m is rationally isomorphic to the cohomology of the polylogarithmic complex. This gives a partial extension of A. Suslin theorem describing the indecomposable K₃ of a field.

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