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arXiv · 1004.4835

Stability conditions under change of base field

Pawel Sosna
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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.

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Pawel Sosna. 2011-08-23. Stability conditions under change of base field. https://doi.org/10.1002/mana.201000020

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