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for questions on one dimensional algebraic varieties over any field, including questions of moduli, and questions about specific curves.
7
votes
1
answer
267
views
Ramification and reduction
Let $K$ a local field ($K$ finit extension of $\mathbb{Q}_p$), $\mathcal{O}_K$ the integer of $K$ and $k$ the residue field of $\mathcal{O}_K$.
Let $\psi:\mathbb{P}^1_K\to\mathbb{P}^1_K$ a finit separ …
3
votes
0
answers
78
views
tame ramification and separability of the reduction
Let $K$ a local field, with ring of integer $\mathcal{O}_K$ or $\mathcal{O}$ ,of uniformizer $\pi$, residue field $k$ of caracteristic $p$.
Let $\varphi:\mathbb{P}^1_K\to\mathbb{P}^1_K$ finite separab …