English

On Liu morphisms in non-Archimedean geometry

Algebraic Geometry 2026-03-17 v4

Abstract

We define Liu morphisms and quasi-Liu morphisms between Berkovich analytic spaces. We show that Liu morphisms and quasi-Liu morphisms behave exactly as affine morphisms and quasi-affine morphisms of schemes.

Keywords

Cite

@article{arxiv.2106.08032,
  title  = {On Liu morphisms in non-Archimedean geometry},
  author = {Mingchen Xia},
  journal= {arXiv preprint arXiv:2106.08032},
  year   = {2026}
}

Comments

Correct a mistake pointed out by Marco Maculan: The Liu morphism is not G-local on the target

R2 v1 2026-06-24T03:12:56.520Z