3 papers
math.NT2026
p-adic elliptic polylogarithms and cubic Chabauty
Jennifer S. Balakrishnan, Francesca Bianchi, Netan Dogra
The Chabauty--Coleman--Kim method, under favourable circumstances, describes the set of integral points of a hyperelliptic curve inside the -adic zeroes of certain transcendenta…
math.NT2026
Coleman-Gross Heights and -adic Néron Functions on Jacobians of Genus Curves
Francesca Bianchi, Enis Kaya, J. Steffen Müller
We develop a theory of -adic Néron functions on abelian varieties, depending on various auxiliary choices, and show that the global -adic height functions constructed by Maz…
math.NT2025
Algorithms for -adic Heights on Hyperelliptic Curves of Arbitrary Reduction
Francesca Bianchi, Enis Kaya, J. Steffen Müller
In this paper, we develop an algorithm for computing Coleman--Gross (and hence NekováÅ) -adic heights on hyperelliptic curves over number fields with arbitrary reduction type…