The authors construct an explicit functorial algorithm for logarithmic resolution of singularities in characteristic zero by a sequence of multi-weighted blow-ups that turns the singular locus into a simple normal crossing divisor.
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2 Pith papers cite this work. Polarity classification is still indexing.
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math.AG 2years
2021 2verdicts
UNVERDICTED 2representative citing papers
Introduces unipotent morphisms of algebraic stacks, proves a descent result for flags, and derives applications including a unipotent analogue of Gabber's theorem and the resolution property for certain stacks in positive characteristic.
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Logarithmic resolution via multi-weighted blow-ups
The authors construct an explicit functorial algorithm for logarithmic resolution of singularities in characteristic zero by a sequence of multi-weighted blow-ups that turns the singular locus into a simple normal crossing divisor.
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Unipotent morphisms
Introduces unipotent morphisms of algebraic stacks, proves a descent result for flags, and derives applications including a unipotent analogue of Gabber's theorem and the resolution property for certain stacks in positive characteristic.