Coleman-Gross Heights and $p$-adic Néron Functions on Jacobians of Genus $2$ Curves

Francesca Bianchi, Enis Kaya, J. Steffen Müller

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