1 citations · 3 across the 11 of their papers we have counts for
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Algorithms for hyperelliptic Mumford Curves -adic Uniformization, -adic integrals and -adic heights
Enis Kaya, Marc Masdeu, J. Steffen Müller +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…
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 Nekovář) -adic heights on hyperelliptic curves over number fields with arbitrary reduction type ab…
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 Mazu…
Explicit Vologodsky Integration for Hyperelliptic Curves
Enis Kaya
Vologodsky's theory of -adic integration plays a central role in computing several interesting invariants in arithmetic geometry. In contrast with the theory developed by Colema…
p-adic integration on bad reduction hyperelliptic curves
Eric Katz, Enis Kaya
In this paper, we introduce an algorithm for computing p-adic integrals on bad reduction hyperelliptic curves. For bad reduction curves, there are two notions of p-adic integration…