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math.NT2023
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 Mazu…
math.AG2023
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 m…