Open analytic sets of an algebraic curve in rigid geometry
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.
regular rigid analytic spaces of finite genus
analytic spaces which are the complement of a compact set in an algebraic curve
scientific article; zbMATH DE number 3997980