Another proof of the Semistable Reduction Theorem

Kai Arzdorf; Stefan Wewers

Another proof of the Semistable Reduction Theorem

Algebraic Geometry 2012-11-21 v1 Number Theory

Authors: Kai Arzdorf , Stefan Wewers

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 $Y$ .

Keywords

algebraic curves general mathematical theorems and proofs curves

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@article{arxiv.1211.4624,
  title  = {Another proof of the Semistable Reduction Theorem},
  author = {Kai Arzdorf and Stefan Wewers},
  journal= {arXiv preprint arXiv:1211.4624},
  year   = {2012}
}

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31 pages, 1 figure

Another proof of the Semistable Reduction Theorem

Abstract

Keywords

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