Auflösung der Flächensingularitäten und stabile Reduktion der Fermatkurve Original Research Article

A simple proof of determining the stable reduction of the Fermat curve of prime degreepat the primes lying overpis given. The proof is based on the desingularization theory of excellent surfaces due to Hironaka and on the explicit description of an appropriate uniformiser of the local fields which are wildly ramified overQp.