English

Local uniqueness of approximations and finite determinacy of log morphisms

Algebraic Geometry 2019-09-10 v2 Commutative Algebra

Abstract

I prove a local finite determinacy result of singular fibres in families. As an application, I generalize finite determinacy results on the fibres of log morphisms and nearby and vanishing cycles sheaves by Illusie and Kisin.

Keywords

Cite

@article{arxiv.1812.02195,
  title  = {Local uniqueness of approximations and finite determinacy of log morphisms},
  author = {Helge Ruddat},
  journal= {arXiv preprint arXiv:1812.02195},
  year   = {2019}
}

Comments

21 pages, revised version