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rigid analytic varieties, affinoid varieties, strictly convergent power series over non-archimedean fields
5
votes
Accepted
Reference Request: Preservation of étale maps under rigid analytic GAGA
For rigid spaces, you can find a reference in Theorem 5.2.1, part 1
of Conrad's Irreducible components of rigid spaces. The statement for Berkovich spaces can be found in Proposition 3.4.6 of Berkovic …
7
votes
1
answer
324
views
Indeterminacy locus of meromorphic maps of rigid analytic spaces
Setup. Let $k$ be an algebraically closed field of characteristic zero. Let $X/k$ be a normal variety, and let $Y/k$ be a proper variety. It is well-known that the indeterminacy locus of a rational ma …
2
votes
Indeterminacy locus of meromorphic maps of rigid analytic spaces
Since this answer might be of use to other people in the future, I wanted to add an answer to this question. Brian Conrad provided me with a proof of this fact, which is written up Section 3 of arXiv …