Criterion proven for smooth DM stacks to be weighted blow-ups of another stack under bundle and normal bundle conditions, applied to show stable genus one curve moduli is a weighted blow-up of the pseudo-stable stack.
[BDL24] Luca Battistella and Andrea Di Lorenzo, Wall crossing integral Chow rings of M1,n, Arxiv eprint (2024), available at 2402.14644
2 Pith papers cite this work. Polarity classification is still indexing.
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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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A criterion for smooth weighted blow-downs
Criterion proven for smooth DM stacks to be weighted blow-ups of another stack under bundle and normal bundle conditions, applied to show stable genus one curve moduli is a weighted blow-up of the pseudo-stable stack.
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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.