Integral points of bounded height on a log Fano threefold. (English) Zbl 1537.11044
Summary: We determine an asymptotic formula for the number of integral points of bounded height on a blow-up of \( \mathbb{P}^3\) outside certain planes using universal torsors.
MSC:
| 11D45 | Counting solutions of Diophantine equations |
| 11G35 | Varieties over global fields |
| 14G05 | Rational points |
| 14J45 | Fano varieties |
| 14J30 | \(3\)-folds |
| 14G40 | Arithmetic varieties and schemes; Arakelov theory; heights |
