Document Type

Article

Publication Date

1-2014

Department

Mathematics

Abstract

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.

Required Publisher's Statement

This article was published online in August 2013.

Original version is available from the publisher at: http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=9095478

Included in

Number Theory Commons

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