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math.NT2024
Canonical local heights and Berkovich skeleta
Robin de Jong, Farbod Shokrieh
We discuss canonical local heights on abelian varieties over non-archimedean fields from the point of view of Berkovich analytic spaces. Our main result is a refinement of Néron's…
math.NT2012
One half log discriminant and division polynomials
Robin de Jong
L. Szpiro and T. Tucker recently proved that under mild conditions, the valuation of the minimal discriminant of an elliptic curve with semistable reduction over a discrete valuati…