# On Henselian Rigid Geometry

## TL;DR

This paper reviews the foundations of henselian rigid geometry, highlighting its unique aspects and potential applications, including an analogue of Zariski Main Theorem, distinguishing it from traditional rigid geometry.

## Contribution

It introduces foundational results in henselian rigid geometry, emphasizing its distinctive features and potential advantages over classical rigid geometry.

## Key findings

- Henselian rigid geometry has unique properties useful in applications.
- An analogue of Zariski Main Theorem is established.
- The paper outlines foundational aspects of henselian rigid geometry.

## 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.