English

Universal Weak Semistable Reduction

Algebraic Geometry 2019-11-01 v2

Abstract

We show that a toroidal morphism can be reduced to a weakly semistable one in a universal way if we allow families to be modified to Deligne-Mumford stacks instead of schemes.

Keywords

Cite

@article{arxiv.1601.00302,
  title  = {Universal Weak Semistable Reduction},
  author = {Sam Molcho},
  journal= {arXiv preprint arXiv:1601.00302},
  year   = {2019}
}

Comments

Version 2. Fixed minor errors, improved exposition throughout

R2 v1 2026-06-22T12:21:57.578Z