Degeneration of log Calabi-Yau pairs via log canonical places

Abstract

Let $(X, Δ)$ be a projective log canonical Calabi-Yau pair and $L$ an ample $\mathbb{Q}$-line bundle on $X$, we show that there is a correspondence between lc places of $(X, Δ)$ and weakly special test configurations of $(X, Δ;L)$.