论文标题

关于卡拉比远纤维的K稳定性

On K-stability of Calabi-Yau fibrations

论文作者

Hattori, Masafumi

论文摘要

我们表明,当且仅当基本曲线在二键式的意义上是k-stable时,曲线上的calabi-yau振动在绝热意义上是均匀的。此外,我们证明,当总空间光滑时,有CSCK指标用于此类纤维。

We show that Calabi-Yau fibrations over curves are uniformly K-stable in an adiabatic sense if and only if the base curves are K-stable in the log-twisted sense. Moreover, we prove that there are cscK metrics for such fibrations when the total spaces are smooth.

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