Open analytic sets of an algebraic curve in rigid geometry
type: Item
instance of: scholarly article
title: Open analytic sets of an algebraic curve in rigid geometry
zbMATH Open document ID: 0616.14025
author: Qing Liu
publication date: 1987-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74767
review text: We study the one dimensional regular rigid analytic spaces of finite genus over a complete valued field \(k\). We show that such a space \(X\) has prestable reduction. If \(k\) is maximally complete, \(X\) is isomorphic to an analytic open set of an algebraic curve (analytified). Finally, we characterize all analytic spaces which are the complement of a compact set in an algebraic curve.
Mathematics Subject Classification ID: 14G20
Mathematics Subject Classification ID: 14H25
Mathematics Subject Classification ID: 32B15
zbMATH DE Number: 3997980
zbMATH Keywords: regular rigid analytic spaces of finite genus
zbMATH Keywords: analytic spaces which are the complement of a compact set in an algebraic curve
MaRDI profile type: Publication
OpenAlex ID: W2323154378
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DOI: 10.5802/AIF.1097
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 3997980