Relative and logarithmic resolution of singularities
Algebraic Geometry
2023-03-02 v1
Abstract
These lecture notes provide a unified overview of most known canonical desingularization methods in characteristic zero. It starts with discussing the classical method, and then proceeds with the recently discovered ones: logarithmic desingularization of logarithmic schemes and morphisms, weighted methods: logarithmic and non-logarithmic ones, desingularization in wider contexts: quasi-excellent schemes and formal schemes, complex and non-archimedean spaces.
Cite
@article{arxiv.2303.00407,
title = {Relative and logarithmic resolution of singularities},
author = {Michael Temkin},
journal= {arXiv preprint arXiv:2303.00407},
year = {2023}
}
Comments
63 pages, first version, comments are welcome