4 papers
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.…
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.
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…
Logarithmic resolution via multi-weighted blow-ups
Dan Abramovich, Ming Hao Quek
We first introduce and study the notion of multi-weighted blow-ups, which is later used to systematically construct an explicit yet efficient algorithm for functorial logarithmic r…