E. Kaya

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20242026

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3 papers · 1 filter

math.NT2026

Algorithms for hyperelliptic Mumford Curves $p$ -adic Uniformization, $p$ -adic integrals and $p$ -adic heights

Enis Kaya, Marc Masdeu, J. Steffen MÃ¼ller +1

Mumford curves generalize the Tate uniformization of elliptic curves with split multiplicative reduction and provide p-adic analogues of the uniformization of Riemann surfaces. In…

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

Algorithms for $p$ -adic Heights on Hyperelliptic Curves of Arbitrary Reduction

Francesca Bianchi, Enis Kaya, J. Steffen MÃ¼ller

In this paper, we develop an algorithm for computing Coleman--Gross (and hence NekovÃ¡Å) $p$ -adic heights on hyperelliptic curves over number fields with arbitrary reduction type…

Algorithms for hyperelliptic Mumford Curves p-adic Uniformization, p-adic integrals and p-adic heights

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

Algorithms for p-adic Heights on Hyperelliptic Curves of Arbitrary Reduction

Algorithms for hyperelliptic Mumford Curves $p$ -adic Uniformization, $p$ -adic integrals and $p$ -adic heights

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

Algorithms for $p$ -adic Heights on Hyperelliptic Curves of Arbitrary Reduction