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Results tagged with rigid-analytic-geometry
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user 39304
rigid analytic varieties, affinoid varieties, strictly convergent power series over non-archimedean fields
6
votes
Accepted
Vector bundles on adic spaces
$\newcommand{\cO}{\mathcal{O}}\newcommand{\bZ}{\mathbb{Z}}$Let's first work out the case $\mathcal{E}=\mathcal{O}_X$. We want a space $E\to X$ such that $Hom_X(S, E)=\cO_S(S)=Hom(S,\mathbb{A}^1)$. Her …
- 7,377
6
votes
Accepted
Can a covering space of the $p$-adic disc split over the circle?
$\newcommand{\Sp}{\mathrm{Sp}\,}\newcommand{\cO}{\mathcal{O}}\newcommand{\fm}{\mathrm{m}}$There seem to exist such examples and this does not contradict de Jong's argument because his proof only shows …
- 7,377
2
votes
Non-isomorphic varieties over a $p$-adic field with isomorphic analytifications
It seems possible to adapt Kim's example to the p-adic setting, although there is a significant discrepancy in how Picard groups of affine curves behave. We want to construct a non-trivial line bundle …
- 7,377