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- W2521276778 abstract "We show that, assuming Vojta's height conjecture, the height of a rational point on an algebraically hyperbolic variety can be bounded in families. This generalizes a result of Su-Ion Ih for curves of genus at least two to higher-dimensional varieties. As an application, we show that, assuming Vojta's height conjecture, the height of a rational point on a curve of general type is uniformly bounded. Finally, we prove a similar result for smooth hyperbolic surfaces with $c_1^2 > c_2$." @default.
- W2521276778 created "2016-09-30" @default.
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- W2521276778 date "2016-09-16" @default.
- W2521276778 modified "2023-10-01" @default.
- W2521276778 title "Bounding heights uniformly in families of hyperbolic varieties" @default.
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