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Trivial points on towers of curves

We define and study trivial points on towers of curves over number fields, and we show their finiteness in some cases. We relate these to the unboundeness of the gonality of the curves, which we show under some hypothesis. The problem is related to recent results of Cadoret and Tamagawa, and Ellenberg, Hall and Kowalski.

preprint2012arXivOpen access
Xavier Xarles
math.AGmath.NT
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Xavier Xarles

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