Desingularization of Arithmetic Surfaces: Algorithmic Aspects

Anne Frühbis-Krüger () and Stefan Wewers ()
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Anne Frühbis-Krüger: Leibniz Universität Hannover, Institut für Algebraische Geometrie
Stefan Wewers: Universität Ulm, Institut für Reine Mathematik

A chapter in Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory, 2017, pp 231-252 from Springer

Abstract: Abstract The quest for regular models of arithmetic surfaces allows different viewpoints and approaches: using valuations or a covering by charts. In this article, we sketch both approaches and then show in a concrete example, how surprisingly beneficial it can be to exploit properties and techniques from both worlds simultaneously.

Keywords: Arithmetic surfaces; Regular models; Valuations; Desingularization; Primary:; 14E15 (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-70566-8_10

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DOI: 10.1007/978-3-319-70566-8_10

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