Regular models of hyperelliptic curves
Abstract
Let K be a complete discretely valued field of residue characteristic not 2 and OK its ring of integers. We explicitly construct a regular model over OK with strict normal crossings of any hyperelliptic curve C/K:y2=f(x). For this purpose, we introduce the new notion of ''MacLane cluster picture'', that aims to be a link between clusters and MacLane valuations.
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