4 papers · 1 filter
Torus actions, weighted blow-ups, and desingularization of plane curves
Dan Abramovich, Ming Hao Quek, Bernd Schober
Given a singular hypersurface in a regular 2-dimensional scheme essentially of finite type over a field, we construct an embedded resolution of singularities by weighted blow-ups.…
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…
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…
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.