Publication details
The split torsor method for Manin's conjecture
- authored by
- Ulrich Derenthal, Marta Pieropan
- Abstract
We introduce the split torsor method to count rational points of bounded height on Fano varieties. As an application, we prove Manin's conjecture for all nonsplit quartic del Pezzo surfaces of type A
3 + A
1 over arbitrary number fields. The counting problem on the split torsor is solved in the framework of o-minimal structures.
- Organisation(s)
-
Institute of Algebra, Number Theory and Discrete Mathematics
Riemann Center for Geometry and Physics
- External Organisation(s)
-
Utrecht University
- Type
- Article
- Journal
- Transactions of the American Mathematical Society
- Volume
- 373
- Pages
- 8485-8524
- No. of pages
- 40
- ISSN
- 0002-9947
- Publication date
- 12.2020
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Mathematics(all), Applied Mathematics
- Electronic version(s)
-
https://arxiv.org/abs/1907.09431 (Access:
Open)
https://doi.org/10.1090/tran/8133 (Access: Closed)
