E. Kaya

activity

20242026

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3 papers · 1 filter

math.AG2025

Sampling from $p$ -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…

math.AG2025

Jumps of Jacobians via orthogonal canonical forms

Enis Kaya, MichaÃ«l Maex, Art Waeterschoot

Given a smooth, proper curve $C$ over a discretely valued field $k$ , we equip the $k$ -vector space $H^{0} (C, I ¨ _{C / k})$ with a canonical discrete valuation $v_{can}$ which…

math.AG2024

Tropical invariants for binary quintics and reduction types of Picard curves

Paul Alexander Helminck, Yassine El Maazouz, Enis Kaya

We express the reduction types of Picard curves in terms of tropical invariants associated to binary quintics. We also give a general framework for tropical invariants associated t…

Sampling from p-adic algebraic manifolds

Jumps of Jacobians via orthogonal canonical forms

Tropical invariants for binary quintics and reduction types of Picard curves

Sampling from $p$ -adic algebraic manifolds