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math.NT2017
p-adic heights and Vologodsky integration
Amnon Besser
We extend the result of a previous work to the case of curves with semi-stable reduction. In this case, one can replace Coleman integration by Vologodsky integration to extend the…
math.NT2017★ 2 cited
Vologodsky integration on curves with semi-stable reduction
Amnon Besser, Sarah Livia Zerbes
We prove that the Vologodsky integral of a mermorphic one-form on a curve over a -adic field with semi-stable reduction restrict to Coleman integrals on the rigid subdomains red…