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arXiv:0807.4308 [math.AG]AbstractReferencesReviewsResources

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

Ana Bravo, Orlando Villamayor

Published 2008-07-27, updated 2011-06-13Version 3

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.

Comments: Several typos corrected. Minor improvements on the presentation of the published paper
Journal: Adv. in Math. 224 (2010)1349-1418
Categories: math.AG
Subjects: 14E15
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