Log Structures on Generalized Semi-Stable Varieties

Details Log Structures on Generalized Semi-Stable Varieties Log Structures on Generalized Semi-Stable Varieties

2007-10-15

arxiv.org/abs/0710.2726v1

Li, Ting. Log structures on generalized semi-stable varieties. Acta Math. Sin. (Engl. Ser.) 23 (2007), no. 7, 1217--1232

Mathematics

Algebraic Geometry

47 pages, doubled sided

Scientific paper

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.

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