5 papers
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…
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…
Sampling from -adic algebraic manifolds
Yassine El Maazouz, Enis Kaya
We present a method for sampling points from an algebraic manifold, either affine or projective, defined over a local field, with a prescribed probability distribution. Inspired by…
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…
Jumps of Jacobians via orthogonal canonical forms
Enis Kaya, Michaël Maex, Art Waeterschoot
Given a smooth, proper curve over a discretely valued field , we equip the -vector space with a canonical discrete valuation which…