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A p-adic nonabelian criterion for good reduction of curves

A p-adic nonabelian criterion for good reduction of curves

Let K be a complete discrete valuation field of characteristic 0, with valuation ring OK and perfect residue field k of positive characteristic p. We prove that a proper and smooth curve over K, admitting a semistable model over OK, has good reduction if and only if its unipotent p-adic …