Singularities in positive characteristic, stratification and simplification of the singular locus |
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| Authors: | A. Bravo O. Villamayor U. |
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| Affiliation: | Instituto de Ciencias Matematicas CSIC-UAM-UC3M-UCM and Dpto. Matemáticas, Facultad de Ciencias, Universidad Autónoma de Madrid, Canto Blanco, 28049 Madrid, Spain |
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| Abstract: | We introduce an upper semi-continuous function that stratifies the highest multiplicity locus of a hypersurface in arbitrary characteristic. The blow-up along the maximum stratum defined by this function leads to a form of simplification of the singularities, known as the reduction to the monomial case. |
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| Keywords: | 14E15 |
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