Rational points of varieties with ample cotangent bundle over function fields
Rational points of varieties with ample cotangent bundle over function fields
Let K be the function field of a smooth curve over an algebraically closed field k. Let X be a scheme, which is smooth and projective over K. Suppose that the cotangent bundle $$\Omega _{X/K}$$ is ample. Let $$R:=\mathrm{Zar}(X(K)\cap X)$$ be the Zariski closure of the set of all K-rational …