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.


14E15 Global theory and resolution of singularities (algebro-geometric aspects)
Full Text: DOI arXiv