Publication details
Integral points of bounded height on a certain toric variety
Abstract
We determine an asymptotic formula for the number of integral points of bounded height on a certain toric variety, which is incompatible with part of a preprint by Chambert-Loir and Tschinkel. We provide an alternative interpretation of the asymptotic formula we get. To do so, we construct an analogue of Peyre's constant α and describe its relation to a new obstruction to the Zariski density of integral points in certain regions of varieties.
Details
- Organisation(s)
-
Institute of Algebra, Number Theory and Discrete Mathematics
- Type
- Article
- Journal
- Transactions of the American Mathematical Society Series B
- Volume
- 11
- Pages
- 567-599
- No. of pages
- 33
- ISSN
- 2330-0000
- Publication date
- 26.02.2024
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Mathematics (miscellaneous)
- Electronic version(s)
-
https://doi.org/10.1090/btran/166 (Access:
Open
)
