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Conductors of superelliptic curves
[thesis]
2019
The main object of this thesis are conductors associated to algebraic curves. For a superelliptic curve given by y^n=g(x) we give a decomposition of the conductor exponent at primes p not dividing n in n-1 terms such that the wild part of each term is independent of n and given in terms of the polynomial g. Based on this decomposition, we obtain an upper bound for the conductor exponent in terms of g and n. We provide examples showing that this bound is sharp. As an application to the proven
doi:10.18725/oparu-22641
fatcat:pckqrcccnzhv3mjgnzug7jmeye