34 citations · 93 across the 17 of their papers we have counts for
18 papers
Cox rings of morphisms and resolution of singularities
Jarosław Włodarczyk
We extend the Cox-Hu-Keel construction of the Cox rings to any proper birational morphisms of normal noetherian schemes. It allows the representation of any proper birational morph…
Functorial resolution by torus actions
Jarosław Włodarczyk
We present a simple and fast embedded resolution of varieties and principalization of ideals using torus actions on ambient smooth varieties with simple normal crossings (SNC) divi…
Functorial resolution except for toroidal locus. Toroidal compactification
Jarosław Włodarczyk
Let be any variety in characteristic zero. Let be an open subset that has toroidal singularities. We show the existence of a canonical desingularization of ex…
Relative desingularization and principalization of ideals
Dan Abramovich, Michael Temkin, Jarosław Włodarczyk
In characteristic zero, we construct relative principalization of ideals for logarithmically regular morphisms of logarithmic schemes, and use it to construct logarithmically regul…
Functorial embedded resolution via weighted blowings up
Dan Abramovich, Michael Temkin, Jarosław Włodarczyk
We provide a procedure for resolving, in characteristic 0, singularities of a variety embedded in a smooth variety by repeatedly blowing up the worst singularities, in the…
A Kawamata-Viehweg type formulation of the Logarithmic Akizuki-Nakano Vanishing Theorem
Donu Arapura, Kenji Matsuki, Deepam Patel +1
In this largely expository article, we present a Kawamata-Viehweg type formulation of the (logarithmic) Akizuki-Nakano Vanishing Theorem. While the result is likely known to the ex…