We consider which integers g can occur as the genus and of a curve defined over a field of characteristic p which admits an automorphism of degree pq, where p and q are distinct primes. This investigation leads us to consider a certain family of three-dimensional Frobenius problems and prove explicit formulas giving their solution in many cases.
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Glass, Darren B. “A Frobenius Question Related to Actions on Curves in Characteristic P.” Glasgow Mathematical Journal 56.1 (2014): 143-148.
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This article was published online in August 2013.
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