The semistable reduction theorem asserts that any curve $C$ attains semistable reduction after a finite extension of the base field. If semistable reduction, can be attained after a tame extension of the base field, then $C$ is said to have tame reduction, otherwise $C$ has wild reduction. For primes $p > 2g + 1$, any curve of genus $g$ has tame reduction at $p$.
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- Last edited by Raymond van Bommel on 2025-07-18 17:53:09
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