J. Muller

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math.NT2026

Coleman-Gross Heights and $p$ -adic NÃ©ron Functions on Jacobians of Genus $2$ Curves

Francesca Bianchi, Enis Kaya, J. Steffen MÃ¼ller

We develop a theory of $p$ -adic NÃ©ron functions on abelian varieties, depending on various auxiliary choices, and show that the global $p$ -adic height functions constructed by Maz…

math.NT2025

Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields

Jennifer S. Balakrishnan, L. Alexander Betts, Daniel Rayor Hast +2

Thanks to work of Rouse, Sutherland, and Zureick-Brown, it is known exactly which subgroups of GL $_{2} (Z_{3})$ can occur as the image of the $3$ -adic Galois representation att…

Coleman-Gross Heights and p-adic NÃ©ron Functions on Jacobians of Genus 2 Curves

Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields

Coleman-Gross Heights and $p$ -adic NÃ©ron Functions on Jacobians of Genus $2$ Curves