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The unramified Grothendieck--Serre conjecture
Abstract
We prove that a generically trivial torsor under a reductive group scheme over an unramified regular local ring is trivial.
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BibTeX
@misc{liu2026unramified,
title = {{The unramified Grothendieck--Serre conjecture}},
author = {Fei Liu},
howpublished = {HAL},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.20015},
eprint = {2609.20015},
archivePrefix = {arXiv},
url = {https://hal.science/hal-05762992v1},
}
RIS
TY - UNPB
TI - The unramified Grothendieck--Serre conjecture
AU - Fei Liu
PY - 2026
DA - 2026/09/17
PB - HAL
DO - 10.48550/arxiv.2609.20015
UR - https://hal.science/hal-05762992v1
AB - We prove that a generically trivial torsor under a reductive group scheme over an unramified regular local ring is trivial.
ER -