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math.NT2026★ 2 cited
p-adic adelic metrics and Quadratic Chabauty I
Amnon Besser, J. Steffen Müller, Padmavathi Srinivasan
We give a new construction of -adic heights on varieties over number fields using -adic Arakelov theory. In analogy with Zhang's construction of real-valued heights in terms…
math.NT2025
Curve equations from expansions of 1-forms at a nonrational point
Raymond van Bommel, Edgar Costa, Bjorn Poonen +1
We exhibit an algorithm to compute equations of an algebraic curve over a computable characteristic 0 field from the power series expansions of its regular 1-forms at a nonrational…