论文标题

关于正面特征的局部稳定性基础变化

On Base Change of Local Stability in Positive Characteristics

论文作者

Hu, Zhi, Zong, Runhong

论文摘要

我们证明,如果log Pair $(\ Mathcal {x'},\ Mathcal {x'},\ Mathcal {x}'_ {b'} $ in the Pulst bass Chand the Pulst chrand fulst oft the Pulst oft the Pulst chrand,nog in oft the bass $ in bass $ in the b'in oft the b'in oft the Perfort bass $ b'规范。

We prove that a pointed one dimensional family of varieties $\mathcal{X}\to {b\in B}$ in positive characteristics is locally stable iff the log pair $(\mathcal{X'}, \mathcal{X}'_{b'})$ arising from its base change to the perfectoid base $b'\in B_{perf}$ is log canonical.

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