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Paper detail

Singularities in positive characteristic, stratification and simplification of the singular locus

We introduce an upper semi-continuous function that stratifies the highest multiplicity locus of a hypersurface in arbitrary characteristic (over a perfect field). The blow-up along the maximum stratum defined by this function leads to a form of simplification of the singularities, also known as a reduction to the monomial case.

preprint2011arXivOpen access
Ana BravoOrlando Villamayor
math.AG
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Ana BravoOrlando Villamayor

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