English

Slicing criterion for ind-smooth ring maps

Commutative Algebra 2024-04-30 v1

Abstract

We show that ind-smoothness of flat ring maps can be tested on constructible stratifications, even for maps of non-Noetherian rings. We prove this by generalizing ind-smoothness and ind-lci to a sequence of conditions on animated ring maps called ind-dd-smoothness, and showing all at once that they can be tested on constructible stratifications.

Cite

@article{arxiv.2404.17988,
  title  = {Slicing criterion for ind-smooth ring maps},
  author = {Longke Tang},
  journal= {arXiv preprint arXiv:2404.17988},
  year   = {2024}
}

Comments

20 pages

R2 v1 2026-06-28T16:08:38.612Z