English

On Henselian Rigid Geometry

Algebraic Geometry 2017-02-03 v1

Abstract

We overview some of the foundations of the so-called henselian rigid geometry, and show that henselian rigid geometry has many aspects, useful in applications, that one cannot expect in the usual rigid geometry. This is done by announcing a few characteristic results, one of which is an analogue of Zariski Main Theorem.

Keywords

Cite

@article{arxiv.1702.00679,
  title  = {On Henselian Rigid Geometry},
  author = {Fumiharu Kato},
  journal= {arXiv preprint arXiv:1702.00679},
  year   = {2017}
}

Comments

15 pages, Proceeding report of the author's talk in the conference "Algebraic Geometry in East Asia 2016", January 2016. To appear in Taiwanese Journal of Mathematics

R2 v1 2026-06-22T18:07:43.723Z