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A smooth proper variety $X$ over a number field $K$ is said to have potential good reduction at a prime $\mathfrak{p}$ if there is a finite extension $L \supset K$ such that the base change $X_L$ has good reduction at all primes $\mathfrak{q}$ of $L$ above $\mathfrak{p}$.

Knowl status:
  • Review status: reviewed
  • Last edited by Bjorn Poonen on 2022-03-24 17:13:50
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