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Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant. (English) Zbl 0896.14006

In this paper the authors give an elementary and constructive proof of Hironaka’s celebrated theorem on resolutions of singularities in characteristic zero. They introduce a discrete local invariant whose maximum locus determines a smooth centre for blowing up. This then leads to desingularization. There are many examples in the paper.

MSC:

14E15 Global theory and resolution of singularities (algebro-geometric aspects)
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