Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.18418 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of Contents:
- Flasque resolutions play an important role in understanding birational properties of algebraic tori. For instance, Colliot-Thélène and Sansuc have used them to compute $R$-equivalence classes of algebraic tori. We extend this notion to a larger class of algebraic varieties, including homogeneous spaces. This leads to a lower bound on the number of $R$-equivalence classes of homogeneous spaces, which is a slightly stronger version of a theorem of Colliot-Thélène and Kunyavskii.