English

Groups of components and Weil restriction

Number Theory 2016-01-19 v4 Algebraic Geometry

Abstract

We determine the behavior under Weil restriction of the group of connected components of the special fiber of an arbitrary smooth group scheme (whose Weil restriction exists) over an arbitrary (commutative and unital) local ring. Applications to N\'eron models are given.

Keywords

Cite

@article{arxiv.1501.05621,
  title  = {Groups of components and Weil restriction},
  author = {Alessandra Bertapelle and Cristian D. Gonzalez-Aviles},
  journal= {arXiv preprint arXiv:1501.05621},
  year   = {2016}
}

Comments

7 pages. We decided not to publish it for the moment

R2 v1 2026-06-22T08:10:16.448Z