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.
CITATION STYLE
Frühbis-Krüger, A., & Wewers, S. (2018). Desingularization of arithmetic surfaces: Algorithmic aspects. In Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory (pp. 231–252). Springer International Publishing. https://doi.org/10.1007/978-3-319-70566-8_10
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