Ogus realization of 1-motives
Algebraic Geometry
2018-04-16 v2 K-Theory and Homology
Number Theory
Abstract
After introducing the Ogus realization of 1-motives we prove that it is a fully faithful functor. More precisely, following a framework introduced by Ogus, considering an enriched structure on the de Rham realization of 1-motives over a number field, we show that it yields a full functor by making use of an algebraicity theorem of Bost.
Keywords
Cite
@article{arxiv.1610.04341,
title = {Ogus realization of 1-motives},
author = {F. Andreatta and L. Barbieri-Viale and A. Bertapelle},
journal= {arXiv preprint arXiv:1610.04341},
year = {2018}
}