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math.AG2025
Principalization on logarithmically foliated orbifolds
Dan Abramovich, André Belotto da Silva, Michael Temkin +1
In characteristic zero, we construct principalization of ideals on smooth orbifolds endowed with a normal crossings divisor and a foliation. We then illustrate how the method can b…
math.AG2025
Functorial monomialization and uniqueness of centers for relative principalization
Dan Abramovich, Michael Temkin, Jarosław Włodarczyk
Theorem 1.2.6 of [ATW20] provides a relatively functorial logarithmic principalization of ideals on relative logarithmic orbifolds in characteristic 0, relying on a delica…
math.AG2025
Logarithmic resolution of singularities in characteristic 0 using weighted blow-ups
Dan Abramovich, André belotto da Silva, Ming Hao Quek +2
In characteristic zero, we construct logarithmic resolution of singularities, with simple normal crossings exceptional divisor, using weighted blow-ups.