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It is also an interface procedure under the short name dloc. It performs the desingularization of an affine scheme. That is, the algorithm considers the situation in a chart of globalChartList, and performs an operation on this chart independently from the others.

a polynomial from k[VAR], defining the scheme to be desingularized,
a list of variables x1, ..., xn.
The value of the resolvedChartList global variable, containing the data of the chart covering the final blowing up variety.

In order to avoid name collisions the caveat of section * has to be held.

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