Degeneration of log Calabi-Yau pairs via log canonical places

Guodu Chen; Chuyu Zhou

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arXiv · 2201.03223

Degeneration of log Calabi-Yau pairs via log canonical places

Guodu Chen·Chuyu Zhou

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Abstract

Let $(X, \Delta)$ 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 $(X, \Delta)$ and weakly special test configurations of $(X, \Delta;L)$.

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Guodu Chen, Chuyu Zhou. 2022-01-10. Degeneration of log Calabi-Yau pairs via log canonical places. https://arxiv.org/abs/2201.03223

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