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arXiv · 1711.06957

p-adic heights and Vologodsky integration

Amnon Besser
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Abstract

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 Coleman-Gross definition of a $p$-adic height pairing. we show that this pairing still equals the one defined by Nekovar.

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Amnon Besser. 2017-11-19. p-adic heights and Vologodsky integration. https://arxiv.org/abs/1711.06957

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