On an analogue of the fundamental Voevodsky theorem

Let $k$ be a field of zero characteristic, $X$ be a $k$-smooth scheme, and $F$ be an $\mathbb{A}^1$-invariant quasi-stable presheave with framed transfers. Then the corresponding Gersten complex is exact.

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Publication Details

Journal
Izvestiya Mathematics
Published
2025-01-01
DOI
https://doi.org/10.4213/im9659e
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00

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article

On an analogue of the fundamental Voevodsky theorem

Dimitrii Nikolaevich Tyurin
Izvestiya Mathematics
Algebraic Geometry and Number Theory
article

On an analogue of the fundamental Voevodsky theorem

Dimitrii Nikolaevich Tyurin
article en

Abstract

Let $k$ be a field of zero characteristic, $X$ be a $k$-smooth scheme, and $F$ be an $\mathbb{A}^1$-invariant quasi-stable presheave with framed transfers. Then the corresponding Gersten complex is exact.

Izvestiya MathematicsVol. 89(3)
Russian Academy of Sciences (RU), Steklov Mathematical Institute (RU), Mathematical Institute of the Slovak Academy of Sciences (SK)
Ministry of Education and Science of the Russian Federation
Openalex Percentile: Top 82%
Algebraic Geometry and Number Theory
DOIOpen Access PDFOpenAlex
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On an analogue of the fundamental Voevodsky theorem — Dimitrii Nikolaevich Tyurin · Izvestiya Mathematics (2025) | TGRS Research Map | TGRS