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Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant - MaRDI portal

Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant (Q1358247)

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Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant
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    Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant (English)
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    3 July 1997
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    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.
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    resolutions of singularities
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    discrete local invariant
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