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Uniformity for integral points on surfaces, positivity of log cotangent sheaves and hyperbolicity. (arXiv:1807.05946v1 [math.AG])
来源于:arXiv
We prove that the Lang-Vojta conjecture implies the number of stably integral
points on curves of log general type, and surfaces of log general type with
positive log cotangent sheaf are uniformly bounded. This generalizes work of
Abramovich and Abramovich-Matsuki. In addition, our methods give a description
of the geometry of surfaces with positive log cotangent bundle showing that all
subvarieties are of log general type. 查看全文>>