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arXiv · 0912.2570

Functorial desingularization over Q: boundaries and the embedded case

Michael Temkin
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Abstract

Our main result establishes functorial desingularization of noetherian quasi-excellent schemes over $\bfQ$ with ordered boundaries. A functorial embedded desingularization of quasi-excellent schemes of characteristic zero is deduced. Furthermore, a standard simple argument extends these results to other categories, including in particular, (equivariant) embedded desingularization of the following objects of characteristic zero: qe algebraic stacks, qe schemes, qe formal schemes, complex and non-archimedean analytic spaces. We also obtain a semistable reduction theorem for formal schemes.

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Michael Temkin. 2009-12-14. Functorial desingularization over Q: boundaries and the embedded case. https://arxiv.org/abs/0912.2570

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