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Stability conditions under change of base field

Pawel Sosna

Number 17
Author Pawel Sosna
Project B02
Year 2010

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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