Log Fano varieties over function fields of curves
arXiv:0705.2714 · doi:10.1007/s00222-008-0113-2
Abstract
Consider a smooth log Fano variety over the function field of a curve. Suppose that the boundary has positive normal bundle. Choose an integral model over the curve. Then integral points are Zariski dense, after removing an explicit finite set of points on the base curve.
18 pages