Semi-stable Extensions Over 1-dimensional Bases
查看参考文献25篇
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文摘
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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 extended 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 C((t)) with semi-ample canonical class. |
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来源
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Acta Mathematica Sinica. English Series
,2018,34(1):103-113 【核心库】
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DOI
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10.1007/s10114-017-7048-8
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关键词
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Semi-stable extension
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Laurent series
;
essential skeleton
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地址
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1.
Department of Mathematics, Princeton University, USA, Princeton, 08544-1000
2.
Department of Mathematics, Imperial College, South Kensington Campus, UK, London, SW7 2AZ
3.
Beijing International Center of Mathematics Research, Beijing, 100871
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语种
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英文 |
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文献类型
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研究性论文 |
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ISSN
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1439-8516 |
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学科
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数学 |
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基金
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support was provided to JK by the NSF
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JN by Starting Grant MOTZETA
;
the European Research Council and to CX by the Chinese National Science Fund for Distinguished Young Scholars
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文献收藏号
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CSCD:6207848
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