Weak elementary fibrations

The notion of a weak elementary fibration is introduced. It is proved that such objects exist in certain interesting cases. This notion is a modification of M. Artin’s notion of an elementary fibration. The results will be applied in a forthcoming paper to get new facts about the Grothendieck–Serre conjecture.

Authors

Publication Details

Journal
St Petersburg Mathematical Journal
Published
2026-09-30
DOI
https://doi.org/10.1090/spmj/1893
Primary Topic
Advanced Topics in Algebra
Type
article
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article

Weak elementary fibrations

Ivan Alexandrovich Panin, Ning Guo
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St Petersburg Mathematical Journal
Advanced Topics in Algebra
article

Weak elementary fibrations

Ivan Alexandrovich Panin, Ning Guo
article en

Abstract

The notion of a weak elementary fibration is introduced. It is proved that such objects exist in certain interesting cases. This notion is a modification of M. Artin’s notion of an elementary fibration. The results will be applied in a forthcoming paper to get new facts about the Grothendieck–Serre conjecture.

St Petersburg Mathematical Journal
Reduced inequalities
Openalex Percentile: Top 99%
Advanced Topics in Algebra
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Weak elementary fibrations — Ivan Alexandrovich Panin, Ning Guo · St Petersburg Mathematical Journal (2026) | TGRS Research Map | TGRS