# Nash multiplicity sequences and Hironaka's order function

26 Feb 2019 Bravo A. Encinas S. Pascual-Escudero B.

When $X$ is a $d$-dimensional variety defined over a field $k$ of characteristic zero, a constructive resolution of singularities can be achieved by successively lowering the maximum multiplicity via blow ups at smooth equimultiple centers. This is done by stratifying the maximum multiplicity locus of $X$ by means of the so called {\em resolution functions}... (read more)

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