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arXiv · 1711.02726

Defect and Local Uniformization

Steven Dale Cutkosky·Hussein Mourtada
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Abstract

We give a simple algorithm showing that the reduction of the multiplicity of a characteristic p>0 hypersurface singularity along a valuation is possible if there is a finite linear projection which is defectless. The method begins with the algorithm of Zariski to reduce multiplicity of hypersuface singularities in characteristic 0 along a valuation. This gives a simple demonstration that the only obstruction to local uniformization in positive characteristic is from defect arising in finite projections of singularities.

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Steven Dale Cutkosky, Hussein Mourtada. 2017-11-07. Defect and Local Uniformization. https://arxiv.org/abs/1711.02726

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