基场基变换下的稳定性条件
Stability conditions under change of base field
摘要：
我们研究了Bridgeland稳定性条件在基场基变换下的行为，特别是有限Galois扩张的情况。特别地，我们证明了对于域K上的簇X和有限Galois扩张L/K，X的稳定流形作为一个闭子流形嵌入基变簇的稳定流形。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
