Log Structures on Generalized Semi-Stable Varieties

Log Structures on Generalized Semi-Stable Varieties

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摘要 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. 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.

作者 Ting LI

机构地区 LMAM

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2007年第7期1217-1232,共16页 数学学报（英文版）

基金 supported by NSFC(10131010)

关键词 log structure normal crossing singularity semi-stable variety log structure, normal crossing singularity, semi-stable variety

分类号 O174 [理学—基础数学]

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Acta Mathematica Sinica,English Series

2007年第7期

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Log Structures on Generalized Semi-Stable Varieties

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