A canonical quadratic point ξ_C on the Jacobian of non-hyperelliptic genus 4 curves is big on the triple-involution locus and CM families, producing non-torsion rational points on elliptic curves and Northcott finiteness.
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Bigness of Canonical Quadratic Points on Curves of Genus 4
A canonical quadratic point ξ_C on the Jacobian of non-hyperelliptic genus 4 curves is big on the triple-involution locus and CM families, producing non-torsion rational points on elliptic curves and Northcott finiteness.