On Goncharov's conjecture in next to Milnor degree

Let K be a field of characteristic zero. We prove that its motivic cohomology of weight m and degree m − 1 is rationally isomorphic to the cohomology of the polylogarithmic complex. This gives a partial extension of A. Suslin's theorem describing the indecomposable K 3 of a field.

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Journal
Advances in Mathematics
Published
2026-10-07
DOI
https://doi.org/10.1016/j.aim.2026.111311
Primary Topic
Advanced Mathematical Identities
Type
article
Field-Weighted Citation Impact
0.00

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article

On Goncharov's conjecture in next to Milnor degree

Vasily Bolbachan
Advances in Mathematics
Advanced Mathematical Identities
article

On Goncharov's conjecture in next to Milnor degree

Vasily Bolbachan
article en

Abstract

Let K be a field of characteristic zero. We prove that its motivic cohomology of weight m and degree m − 1 is rationally isomorphic to the cohomology of the polylogarithmic complex. This gives a partial extension of A. Suslin's theorem describing the indecomposable K 3 of a field.

Advances in MathematicsVol. 505
National Research University Higher School of Economics (RU)
National Research University Higher School of Economics
Openalex Percentile: Top 98%
Advanced Mathematical Identities
DOIOpen Access PDFOpenAlex
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On Goncharov's conjecture in next to Milnor degree — Vasily Bolbachan · Advances in Mathematics (2026) | TGRS Research Map | TGRS