5 papers
Resolution Except for the Normal-Crossing Locus and Galois actions
JarosÅaw WÅodarczyk
In characteristic zero, we construct a canonical, functorial resolution algorithm by weighted blow-ups that strictly preserves the normal crossings (nc) locus, effectively answerin…
Effective resolution of singularities
Edward Bierstone, Dima Grigoriev, Pierre D. Milman +1
Consider a projective variety (over an algebraically closed field of characteristic zero), together with a (reduced) simple normal crossings divisor $E \su…
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, JarosÅaw WÅodarczyk
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.