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PreprintCC BY-NC-ND 4.0HAL

Flasque resolutions and almost strong approximation

Abstract

Almost strong approximation for reductive groups over number fields was recently discussed and established in works of Rapinchuk and Tralle, and of Cao and Wang. In this note I show how systematic use of flasque tori and flasque resolutions enable one to quickly reduce the proof of their main result to the case of quasi-trivial tori.

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BibTeX
@misc{colliotthelene2026flasque,
  title = {{Flasque resolutions and almost strong approximation}},
  author = {Jean-Louis Colliot-Thélène},
  howpublished = {HAL},
  year = {2026},
  month = sep,
  url = {https://hal.science/hal-05743709v2},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Flasque resolutions and almost strong approximation
AU  - Jean-Louis Colliot-Thélène
PY  - 2026
DA  - 2026/09/09
PB  - HAL
UR  - https://hal.science/hal-05743709v2
AB  - Almost strong approximation for reductive groups over number fields was recently discussed and established in works of Rapinchuk and Tralle, and of Cao and Wang. In this note I show how systematic use of flasque tori and flasque resolutions enable one to quickly reduce the proof of their main result to the case of quasi-trivial tori.
ER  -