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math.NT2020★ 1 cited
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…
math.NT2020
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…