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Mathematics > Algebraic Geometry

arXiv:0710.2726 (math)
[Submitted on 15 Oct 2007]

Title:Log Structures on Generalized Semi-Stable Varieties

Authors:Ting Li
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Abstract: This is my PhD Thesis, part of it has published in Acta Mathematica Sinica. 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 structures on this family of morphisms.
Comments: 47 pages, doubled sided
Subjects: Algebraic Geometry (math.AG)
MSC classes: 14A15
Cite as: arXiv:0710.2726 [math.AG]
  (or arXiv:0710.2726v1 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.0710.2726
Journal reference: Li, Ting. Log structures on generalized semi-stable varieties. Acta Math. Sin. (Engl. Ser.) 23 (2007), no. 7, 1217--1232

Submission history

From: Ting Li [view email]
[v1] Mon, 15 Oct 2007 06:43:43 UTC (41 KB)
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