Stability conditions under change of base field

Details Stability conditions under change of base field Stability conditions under change of base field

2010-04-27

arxiv.org/abs/1004.4835v2

Mathematics

Algebraic Geometry

18 pages; v2: minor revision

Scientific paper

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.

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