3 papers
math.AG2025
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.…
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.
math.AG2024
Resolving plane curves using stack-theoretic blow-ups
Dan Abramovich, Ming Hao Quek, Bernd Schober
Stack-theoretic blow-ups have proven to be efficient in resolving singularities over fields of characteristic zero. In this article, we move forward towards positive characteristic…