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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 …
Jackson Morrow's user avatar
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 …
Jackson Morrow's user avatar
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 …
Jackson Morrow's user avatar