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• W2950857411 abstract "Let $k$ be a field, $K/k$ finitely generated and $L/K$ a finite, separable extension. We show that the existence of a $k$-valuation on $L$ which ramifies in $L/K$ implies the existence of a normal model $X$ of $K$ and a prime divisor $D$ on the normalization $X_L$ of $X$ in $L$ which ramifies in the scheme morphism $X_L rightarrow X$. Assuming the existence of a regular, proper model $X$ of $K$, this is a straight-forward consequence of the Zariski-Nagata theorem on the purity of the branch locus. We avoid assumptions on resolution of singularities by using M. Temkin's inseparable local uniformization theorem." @default.
• W2950857411 created "2019-06-27" @default.
• W2950857411 creator A5006602529 @default.
• W2950857411 date "2018-12-06" @default.
• W2950857411 modified "2023-09-24" @default.
• W2950857411 title "On quasi-purity of the branch locus" @default.
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• W2950857411 doi "https://doi.org/10.1007/s00229-018-1096-y" @default.
• W2950857411 hasPublicationYear "2018" @default.
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