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The group of automorphisms of the function fields of the curve xn+ym+1=0

Kontogeorgis, Aristides I.

Paris








Abstract

We study the group of automorphisms of the function fields of the curves xn+ym1=0 This group is bigger than μ(m)×μ(n) in case m|n. If moreover n1 is a power of the characteristic, then the group order exceeds the Hurwitz bound

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