Publication details
Semi-integral Brauer-Manin obstruction and quadric orbifold pairs
Abstract
We study local-global principles for two notions of semi-integral points, termed Campana points and Darmon points. In particular, we develop a semi-integral version of the Brauer-Manin obstruction interpolating between Manin's classical version for rational points and the integral version developed by Colliot-Thélène and Xu. We determine the status of local-global principles, and obstructions to them, in two families of orbifolds naturally associated to quadric hypersurfaces. Further, we establish a quantitative result measuring the failure of the semi-integral Brauer-Manin obstruction to account for its integral counterpart for affine quadrics.
Details
- Organisation(s)
-
Institute of Algebra, Number Theory and Discrete Mathematics
- External Organisation(s)
-
Bulgarian Academy of Sciences (BAS)
University of Washington (UW)
University of Bristol
- Type
- Article
- Journal
- Transactions of the American Mathematical Society
- Volume
- 377
- Pages
- 4435-4480
- No. of pages
- 46
- ISSN
- 0002-9947
- Publication date
- 06.2024
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- General Mathematics, Applied Mathematics
- Electronic version(s)
-
https://doi.org/10.1090/tran/9170 (Access:
Closed
)
https://doi.org/10.48550/arXiv.2209.15582 (Access: Open )
