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Stability conditions under change of base field

✍ Scribed by Pawel Sosna

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
194 KB
Volume
285
Category
Article
ISSN
0025-584X

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✦ Synopsis

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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