Another proof of the Semistable Reduction Theorem

Kai Arzdorf; Stefan Wewers

arxiv: 1211.4624 · v1 · pith:EJBTKSQBnew · submitted 2012-11-19 · 🧮 math.AG · math.NT

Another proof of the Semistable Reduction Theorem

Kai Arzdorf , Stefan Wewers This is my paper

classification 🧮 math.AG math.NT

keywords semistablecoverfinitemodelproofreductiontheoremanother

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We give a new proof of the Semistable Reduction Theorem for curves. The main idea is to present a curve $Y$ over a local field $K$ as a finite cover of the projective line $X=\PP^1_K$. By successive blowups (and after replacing $K$ by a suitable finite extension) we construct a semistable model of $X$ whose normalization with respect to the cover is a semistable model of $Y$.

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