A canonical quadratic point on non-hyperelliptic genus-4 curves is big on specified loci, yielding non-torsion rational points on elliptic curves from those families.
Adelic line bundles over quasi-projective varieties, To appear in Annals of Mathematical Studies
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Survey presenting the quantitative uniformity theorem for the Mordell conjecture proved by Yu--Yuan--Zhou, building on Vojta, Dimitrov--Habegger--Gao and Kuhne.
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Bigness of Canonical Quadratic Points on Curves of Genus 4
A canonical quadratic point on non-hyperelliptic genus-4 curves is big on specified loci, yielding non-torsion rational points on elliptic curves from those families.
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Quantitativity in the Mordell Conjecture
Survey presenting the quantitative uniformity theorem for the Mordell conjecture proved by Yu--Yuan--Zhou, building on Vojta, Dimitrov--Habegger--Gao and Kuhne.