Publication details
Points of bounded height on quintic del Pezzo surfaces over number fields
Abstract
We prove Manin's conjecture for split smooth quintic del Pezzo surfaces over arbitrary number fields with respect to fairly general anticanonical height functions. After passing to universal torsors, we first show that we may restrict the torsor variables to their typical sizes, and then we can solve the counting problem in the framework of o-minimal structures.
Details
- Organisation(s)
-
Institute of Algebra, Number Theory and Discrete Mathematics
- External Organisation(s)
-
Institute for Advanced Studies
- Type
- Article
- Journal
- Advances in Mathematics
- Volume
- 482
- No. of pages
- 41
- ISSN
- 0001-8708
- Publication date
- 12.2025
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- General Mathematics
- Electronic version(s)
-
https://doi.org/10.1016/j.aim.2025.110561 (Access:
Open
)
https://doi.org/10.48550/arXiv.2405.20293 (Access: Open )
