Toric singularities: Log-blow-ups and global resolutions

We prove that singularities of Kato’s log-regular schemes (a base-free analogue of toroidal embeddings) can be resolved globally by a log-blow-up. This is done by showing that the classical desingularization algorithms can be globalized and extended to log-schemes.

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Bibliographic Details
Published in:Journal of algebraic geometry 2006-01, Vol.15 (1), p.1-29
Main Author: Nizioł, Wiesława
Format: Article
Language:English
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Research article
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Summary:We prove that singularities of Kato’s log-regular schemes (a base-free analogue of toroidal embeddings) can be resolved globally by a log-blow-up. This is done by showing that the classical desingularization algorithms can be globalized and extended to log-schemes.
ISSN:1056-3911
1534-7486
DOI:10.1090/S1056-3911-05-00409-1