Back to Search
Start Over
Semi-integral Brauer--Manin obstruction and quadric orbifold pairs.
- Source :
-
Transactions of the American Mathematical Society . Jun2024, Vol. 377 Issue 6, p4435-4480. 46p. - Publication Year :
- 2024
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *QUADRICS
*HYPERSURFACES
*ORBIFOLDS
*INTEGRALS
Subjects
Details
- Language :
- English
- ISSN :
- 00029947
- Volume :
- 377
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Transactions of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 177372859
- Full Text :
- https://doi.org/10.1090/tran/9170