Log Fano varieties over function fields of curves

Mathematics – Algebraic Geometry

Scientific paper

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18 pages

Scientific paper

10.1007/s00222-008-0113-2

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.

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