Rational points of the group of components of a Neron model
Algebraic Geometry
2016-09-29 v1 Number Theory
Abstract
Let A_K be an abelian variety over a discrete valuation field K. Let A be the Neron model of A_K over the ring of integers O_K of K and A_k its special fibre. We study the set of rational points of the group of components \phi_A of A_k. In particular, we look at the cases where A_K is a Jacobian or where A_K is an abelian variety having semi-stable reduction. We also consider algebraic tori over K instead of abelian varieties.
Keywords
Cite
@article{arxiv.math/9804069,
title = {Rational points of the group of components of a Neron model},
author = {Siegfried Bosch and Qing Liu},
journal= {arXiv preprint arXiv:math/9804069},
year = {2016}
}
Comments
16 pages