On Schottky coverings of Drinfeld modular curves
type: Item
instance of: scholarly article
title: On Schottky coverings of Drinfeld modular curves
zbMATH Open document ID: 0853.14014
DOI: 10.1007/BF01781556
published in: Archiv der Mathematik
publication date: 1996-11-22T00:00:00Z
review text: Drinfeld modular curves are Mumford curves at \(\infty\). We give explicit Schottky coverings for them. The most important fact is that, if \(M_\Gamma\) is the (affine) modular curve associated to the arithmetic group \(\Gamma\), then a Schottky group for \(\overline M_\Gamma\) (the canonical completion of \(M_\Gamma)\) appears to be a subgroup of \(\Gamma\), indeed its free part.
Mathematics Subject Classification ID: 14H30
Mathematics Subject Classification ID: 14G20
Mathematics Subject Classification ID: 11G30
Mathematics Subject Classification ID: 11G09
zbMATH DE Number: 938550
zbMATH Keywords: Drinfeld modular curves
zbMATH Keywords: Mumford curves
zbMATH Keywords: Schottky coverings
author: Marc Reversat
reviewed by: Marc Reversat
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01781556
OpenAlex ID: W2017183511
description: scientific article; zbMATH DE number 938550