一维基上的半稳定扩张
Semi-stable extensions over 1-dimensional bases
摘要：
给出了在穿孔圆盘或洛朗级数域上的一族Calabi-Yau簇，证明了在有限基变换后，该簇可以在原点上扩展，同时保持其标准类平凡.更一般地说，我们证明了类似的扩展结果的家庭的对数典型类是半充足的。我们使用这些来表明，Berkovich和本质的Eschereta同意光滑簇在${\mathbb C}((t))$与半充足的典型类。
英文摘要：
Given a family of Calabi-Yau varieties over the punctured disc or over the field of Laurent series, we show that, after a finite base change, the family can be exended across the origin while keeping the canonical class trivial. More generally, we prove similar extension results for families whose log-canonical class is semi-ample. We use these to show that the Berkovich and essential skeleta agree for smooth varieties over ${\mathbb C}((t))$ with semi-ample canonical class.
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