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arXiv · 1211.4624

Another proof of the Semistable Reduction Theorem

Kai Arzdorf·Stefan Wewers
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Abstract

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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Kai Arzdorf, Stefan Wewers. 2012-11-19. Another proof of the Semistable Reduction Theorem. https://arxiv.org/abs/1211.4624

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