Stability conditions under change of base field
Algebraic Geometry
2015-03-17 v2
Abstract
We investigate the behaviour of Bridgeland stability conditions under change of base field with particular focus on the case of finite Galois extensions. In particular, we prove that for a variety X over a field K and a finite Galois extension L/K the stability manifold of X embeds as a closed submanifold into the stability manifold of the base change variety.
Keywords
Cite
@article{arxiv.1004.4835,
title = {Stability conditions under change of base field},
author = {Pawel Sosna},
journal= {arXiv preprint arXiv:1004.4835},
year = {2015}
}
Comments
18 pages; v2: minor revision