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Two recent p-adic approaches towards the (effective) Mordell conjecture

Explicit quadratic Chabauty over number fields

Explicit Chabauty--Kim for the Split Cartan Modular Curve of Level 13

Explicit arithmetic intersection theory and computation of Néron-Tate heights

Archimedean local height differences on elliptic curves

Quadratic Chabauty for modular curves: Algorithms and examples

The minimal regular model of a Fermat curve of odd squarefree exponent and its dualizing sheaf

Applying the Mordell-Weil sieve: Appendix to Quadratic Chabauty and rational points, I: p -adic heights, by Jennifer S. Balakrishnan and Netan Dogra

Computing integral points on hyperelliptic curves using quadratic Chabauty

Lower bounds on the arithmetic self-intersection number of the relative dualizing sheaf on arithmetic surfaces

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De zeven oplossingen van de vervloekte kromme

Mathematicians crack the cursed curve