Advances in Mathematics· 2026Q1
On Goncharov's conjecture in next to Milnor degree
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- Q1SCImago
- 2026year
Short summary
The motivic cohomology of weight m and degree m-1 in fields of characteristic zero is rationally isomorphic to the polylogarithmic complex cohomology.
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Key points
- Motivic cohomology of weight m and degree m-1 is rationally isomorphic to polylogarithmic complex cohomology.
- The result applies to fields of characteristic zero.
- This extends A. Suslin's theorem on indecomposable K3 of a field.
AI-generated from the title and abstract; the full text is not read.
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.
The authors' abstract, as published at the source. Advances in Mathematics, 2026 · DOI ↗
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Field: Algebra and Number Theory
Algebra and Number TheoryMathematics