p-adic heights and Vologodsky integration
Number Theory
2017-11-21 v1 Algebraic Geometry
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 -adic height pairing. we show that this pairing still equals the one defined by Nekovar.
Keywords
Cite
@article{arxiv.1711.06957,
title = {p-adic heights and Vologodsky integration},
author = {Amnon Besser},
journal= {arXiv preprint arXiv:1711.06957},
year = {2017}
}
Comments
18 pages