| Log Structures on Generalized Semi-Stable Varieties |
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| 作者姓名： | Ting LI |
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| 作者单位： | LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China |
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| 基金项目： | This work is supported by NSFC （10131010） |
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| 摘 要： |
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| 关 键 词： | 奇点 对数结构 半稳定簇 射影 对数几何 |
| 修稿时间： | 2004-11-262005-02-17 |
Log Structures on Generalized Semi-Stable Varieties |
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| Ting LI.Log Structures on Generalized Semi-Stable Varieties[J].Acta Mathematica Sinica,2007,23(7):1217-1232. |
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| Authors: | Ting Li |
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| Institution: | (1) LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China |
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| Abstract: | In this paper, a class of morphisms which have a kind of singularity weaker than normal crossing is considered. We construct the obstruction such that the so-called semi-stable log structures exists if and only if the obstruction vanishes. In the case of no power, if the obstruction vanishes, then the semi-stable log structure is unique up to a unique isomorphism. So we obtain a kind of canonical structure on this family of morphisms. |
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| Keywords: | log structure normal crossing singularity semi-stable variety |
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