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9 votes
1 answer
627 views

Do all varieties have only finitely many etale covers of fixed degree

I've been wondering about the following "finiteness statement" concerning etale covers for a while. Let $K$ be a field of characteristic zero, not necessarily algebraically closed. A variety over $K$ ...
Theaux G.'s user avatar
  • 123
8 votes
2 answers
982 views

Covers of the projective line over Z and arithmetic Grauert-Remmert

This question is the two-dimensional analogue of Etale coverings of certain open subschemes in Spec O_K There I asked if one could characterize in a way certain covers of $\textrm{Spec} \ O_K$. As ...
Ariyan Javanpeykar's user avatar