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- W2000204063 abstract "We prove that any reduced Noetherian quasi-excellent scheme of characteristic zero admits a strong desingularization which is functorial with respect to all regular morphisms. As a main application, we deduce that any reduced formal variety of characteristic zero admits a strong functorial desingularization. Also, we show that as an easy formal consequence of our main result one obtains strong functorial desingularization for many other spaces of characteristic zero including quasi-excellent stacks, formal schemes, and complex or nonarchimedean analytic spaces. Moreover, these functors easily generalize to noncompact settings by use of generalized convergent blow-up sequences with regular centers." @default.
- W2000204063 created "2016-06-24" @default.
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- W2000204063 date "2012-08-15" @default.
- W2000204063 modified "2023-09-30" @default.
- W2000204063 title "Functorial desingularization of quasi-excellent schemes in characteristic zero: the nonembedded case" @default.
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- W2000204063 doi "https://doi.org/10.1215/00127094-1699539" @default.
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