Formes modérément ramifiées de polydisques fermés et de dentelles

Abstract

Let $k$ be a complete non-Archimedean field, $L$ a finite tamely ramified galoisian extension of $k$ and $X$ a $k$-analytic space. We show that $X$ is isomorphic to a closed $k$-polydisc (resp. a $k$-lace) if and only if $X_L$ is isomorphic to a closed $L$-polydisc (resp. a $L$-lace) on which the action of $\mathrm{Gal}(L/k)$ is reasonable.

arXiv comment20 pages, in French, 1 figure

Cited by in corpus (1)

• Galois descent of semi-affinoid spaces